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Finding the Fourth Proportional to 61.65, 84.87 and 54.36

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Solution

The fourth proportional to 61.65, 84.87 and 54.36 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.65 : 84.87 = 54.36 : x
  2. Step 2: Convert to fraction form
    61.65/84.87 = 54.36/x
  3. Step 3: Cross multiply
    61.65x = 84.87 × 54.36
  4. Step 4: Simplify right side
    61.65x = 4,613.53
  5. Step 5: Solve for x
    x = 4,613.53/61.65
  6. Step 6: Final answer
    x = 74.83

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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.