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Finding the Fourth Proportional to 64.71, 97.20 and 64.71

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Solution

The fourth proportional to 64.71, 97.20 and 64.71 is: 97.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 97.20 = 64.71 : x
  2. Step 2: Convert to fraction form
    64.71/97.20 = 64.71/x
  3. Step 3: Cross multiply
    64.71x = 97.20 × 64.71
  4. Step 4: Simplify right side
    64.71x = 6,289.81
  5. Step 5: Solve for x
    x = 6,289.81/64.71
  6. Step 6: Final answer
    x = 97.20

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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.