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Finding the Fourth Proportional to 125.91, 188.93 and 77.04

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Solution

The fourth proportional to 125.91, 188.93 and 77.04 is: 115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.91 : 188.93 = 77.04 : x
  2. Step 2: Convert to fraction form
    125.91/188.93 = 77.04/x
  3. Step 3: Cross multiply
    125.91x = 188.93 × 77.04
  4. Step 4: Simplify right side
    125.91x = 14,555.17
  5. Step 5: Solve for x
    x = 14,555.17/125.91
  6. Step 6: Final answer
    x = 115.60

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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.