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Finding the Fourth Proportional to 74.66, 102.81 and 61.60

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Solution

The fourth proportional to 74.66, 102.81 and 61.60 is: 84.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.66 : 102.81 = 61.60 : x
  2. Step 2: Convert to fraction form
    74.66/102.81 = 61.60/x
  3. Step 3: Cross multiply
    74.66x = 102.81 × 61.60
  4. Step 4: Simplify right side
    74.66x = 6,332.84
  5. Step 5: Solve for x
    x = 6,332.84/74.66
  6. Step 6: Final answer
    x = 84.83

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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.