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Finding the Fourth Proportional to 116.42, 160.53 and 77.12

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Solution

The fourth proportional to 116.42, 160.53 and 77.12 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.42 : 160.53 = 77.12 : x
  2. Step 2: Convert to fraction form
    116.42/160.53 = 77.12/x
  3. Step 3: Cross multiply
    116.42x = 160.53 × 77.12
  4. Step 4: Simplify right side
    116.42x = 12,379.27
  5. Step 5: Solve for x
    x = 12,379.27/116.42
  6. Step 6: Final answer
    x = 106.34

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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.