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Finding the Fourth Proportional to 65.20, 97.43 and 56.97

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Solution

The fourth proportional to 65.20, 97.43 and 56.97 is: 85.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.20 : 97.43 = 56.97 : x
  2. Step 2: Convert to fraction form
    65.20/97.43 = 56.97/x
  3. Step 3: Cross multiply
    65.20x = 97.43 × 56.97
  4. Step 4: Simplify right side
    65.20x = 5,550.59
  5. Step 5: Solve for x
    x = 5,550.59/65.20
  6. Step 6: Final answer
    x = 85.13

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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.