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Finding the Fourth Proportional to 65.15, 97.26 and 52.97

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Solution

The fourth proportional to 65.15, 97.26 and 52.97 is: 79.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.15 : 97.26 = 52.97 : x
  2. Step 2: Convert to fraction form
    65.15/97.26 = 52.97/x
  3. Step 3: Cross multiply
    65.15x = 97.26 × 52.97
  4. Step 4: Simplify right side
    65.15x = 5,151.38
  5. Step 5: Solve for x
    x = 5,151.38/65.15
  6. Step 6: Final answer
    x = 79.08

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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.