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Finding the Fourth Proportional to 65.48, 97.47 and 65.14

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Solution

The fourth proportional to 65.48, 97.47 and 65.14 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.48 : 97.47 = 65.14 : x
  2. Step 2: Convert to fraction form
    65.48/97.47 = 65.14/x
  3. Step 3: Cross multiply
    65.48x = 97.47 × 65.14
  4. Step 4: Simplify right side
    65.48x = 6,348.95
  5. Step 5: Solve for x
    x = 6,348.95/65.48
  6. Step 6: Final answer
    x = 96.97

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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.