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Finding the Fourth Proportional to 116.48, 160.80 and 105.12

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Solution

The fourth proportional to 116.48, 160.80 and 105.12 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 160.80 = 105.12 : x
  2. Step 2: Convert to fraction form
    116.48/160.80 = 105.12/x
  3. Step 3: Cross multiply
    116.48x = 160.80 × 105.12
  4. Step 4: Simplify right side
    116.48x = 16,903.30
  5. Step 5: Solve for x
    x = 16,903.30/116.48
  6. Step 6: Final answer
    x = 145.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.