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Finding the Fourth Proportional to 116.07, 160.12 and 74.05

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Solution

The fourth proportional to 116.07, 160.12 and 74.05 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 160.12 = 74.05 : x
  2. Step 2: Convert to fraction form
    116.07/160.12 = 74.05/x
  3. Step 3: Cross multiply
    116.07x = 160.12 × 74.05
  4. Step 4: Simplify right side
    116.07x = 11,856.37
  5. Step 5: Solve for x
    x = 11,856.37/116.07
  6. Step 6: Final answer
    x = 102.14

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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.