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Finding the Fourth Proportional to 61.56, 84.96 and 42.24

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Solution

The fourth proportional to 61.56, 84.96 and 42.24 is: 58.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.56 : 84.96 = 42.24 : x
  2. Step 2: Convert to fraction form
    61.56/84.96 = 42.24/x
  3. Step 3: Cross multiply
    61.56x = 84.96 × 42.24
  4. Step 4: Simplify right side
    61.56x = 3,588.71
  5. Step 5: Solve for x
    x = 3,588.71/61.56
  6. Step 6: Final answer
    x = 58.30

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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.