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Finding the Fourth Proportional to 64.74, 97.14 and 24.16

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Solution

The fourth proportional to 64.74, 97.14 and 24.16 is: 36.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.74 : 97.14 = 24.16 : x
  2. Step 2: Convert to fraction form
    64.74/97.14 = 24.16/x
  3. Step 3: Cross multiply
    64.74x = 97.14 × 24.16
  4. Step 4: Simplify right side
    64.74x = 2,346.90
  5. Step 5: Solve for x
    x = 2,346.90/64.74
  6. Step 6: Final answer
    x = 36.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.