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Finding the Fourth Proportional to 97.53, 135.12 and 95.70

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Solution

The fourth proportional to 97.53, 135.12 and 95.70 is: 132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.53 : 135.12 = 95.70 : x
  2. Step 2: Convert to fraction form
    97.53/135.12 = 95.70/x
  3. Step 3: Cross multiply
    97.53x = 135.12 × 95.70
  4. Step 4: Simplify right side
    97.53x = 12,930.98
  5. Step 5: Solve for x
    x = 12,930.98/97.53
  6. Step 6: Final answer
    x = 132.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.