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Finding the Fourth Proportional to 61.49, 84.59 and 52.27

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Solution

The fourth proportional to 61.49, 84.59 and 52.27 is: 71.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.49 : 84.59 = 52.27 : x
  2. Step 2: Convert to fraction form
    61.49/84.59 = 52.27/x
  3. Step 3: Cross multiply
    61.49x = 84.59 × 52.27
  4. Step 4: Simplify right side
    61.49x = 4,421.24
  5. Step 5: Solve for x
    x = 4,421.24/61.49
  6. Step 6: Final answer
    x = 71.90

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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.