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Finding the Fourth Proportional to 65.48, 97.65 and 53.96

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Solution

The fourth proportional to 65.48, 97.65 and 53.96 is: 80.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.48 : 97.65 = 53.96 : x
  2. Step 2: Convert to fraction form
    65.48/97.65 = 53.96/x
  3. Step 3: Cross multiply
    65.48x = 97.65 × 53.96
  4. Step 4: Simplify right side
    65.48x = 5,269.19
  5. Step 5: Solve for x
    x = 5,269.19/65.48
  6. Step 6: Final answer
    x = 80.47

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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.