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Finding the Fourth Proportional to 102.52, 154.07 and 95.59

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Solution

The fourth proportional to 102.52, 154.07 and 95.59 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 154.07 = 95.59 : x
  2. Step 2: Convert to fraction form
    102.52/154.07 = 95.59/x
  3. Step 3: Cross multiply
    102.52x = 154.07 × 95.59
  4. Step 4: Simplify right side
    102.52x = 14,727.55
  5. Step 5: Solve for x
    x = 14,727.55/102.52
  6. Step 6: Final answer
    x = 143.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.