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Finding the Fourth Proportional to 125.52, 188.40 and 77.52

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Solution

The fourth proportional to 125.52, 188.40 and 77.52 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.52 : 188.40 = 77.52 : x
  2. Step 2: Convert to fraction form
    125.52/188.40 = 77.52/x
  3. Step 3: Cross multiply
    125.52x = 188.40 × 77.52
  4. Step 4: Simplify right side
    125.52x = 14,604.77
  5. Step 5: Solve for x
    x = 14,604.77/125.52
  6. Step 6: Final answer
    x = 116.35

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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.