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Finding the Fourth Proportional to 64.13, 95.52 and 61.22

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Solution

The fourth proportional to 64.13, 95.52 and 61.22 is: 91.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 95.52 = 61.22 : x
  2. Step 2: Convert to fraction form
    64.13/95.52 = 61.22/x
  3. Step 3: Cross multiply
    64.13x = 95.52 × 61.22
  4. Step 4: Simplify right side
    64.13x = 5,847.26
  5. Step 5: Solve for x
    x = 5,847.26/64.13
  6. Step 6: Final answer
    x = 91.19

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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.