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Finding the Fourth Proportional to 99.40, 137.04 and 66.16

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Solution

The fourth proportional to 99.40, 137.04 and 66.16 is: 91.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.40 : 137.04 = 66.16 : x
  2. Step 2: Convert to fraction form
    99.40/137.04 = 66.16/x
  3. Step 3: Cross multiply
    99.40x = 137.04 × 66.16
  4. Step 4: Simplify right side
    99.40x = 9,066.57
  5. Step 5: Solve for x
    x = 9,066.57/99.40
  6. Step 6: Final answer
    x = 91.21

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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.