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Finding the Fourth Proportional to 66.61, 99.35 and 61.81

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Solution

The fourth proportional to 66.61, 99.35 and 61.81 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.61 : 99.35 = 61.81 : x
  2. Step 2: Convert to fraction form
    66.61/99.35 = 61.81/x
  3. Step 3: Cross multiply
    66.61x = 99.35 × 61.81
  4. Step 4: Simplify right side
    66.61x = 6,140.82
  5. Step 5: Solve for x
    x = 6,140.82/66.61
  6. Step 6: Final answer
    x = 92.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.