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Finding the Fourth Proportional to 64.86, 97.54 and 62.14

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Solution

The fourth proportional to 64.86, 97.54 and 62.14 is: 93.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.86 : 97.54 = 62.14 : x
  2. Step 2: Convert to fraction form
    64.86/97.54 = 62.14/x
  3. Step 3: Cross multiply
    64.86x = 97.54 × 62.14
  4. Step 4: Simplify right side
    64.86x = 6,061.14
  5. Step 5: Solve for x
    x = 6,061.14/64.86
  6. Step 6: Final answer
    x = 93.45

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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.