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Finding the Fourth Proportional to 125.32, 187.89 and 77.08

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Solution

The fourth proportional to 125.32, 187.89 and 77.08 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.32 : 187.89 = 77.08 : x
  2. Step 2: Convert to fraction form
    125.32/187.89 = 77.08/x
  3. Step 3: Cross multiply
    125.32x = 187.89 × 77.08
  4. Step 4: Simplify right side
    125.32x = 14,482.56
  5. Step 5: Solve for x
    x = 14,482.56/125.32
  6. Step 6: Final answer
    x = 115.56

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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.