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Finding the Fourth Proportional to 125.84, 188.76 and 53.65

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Solution

The fourth proportional to 125.84, 188.76 and 53.65 is: 80.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 188.76 = 53.65 : x
  2. Step 2: Convert to fraction form
    125.84/188.76 = 53.65/x
  3. Step 3: Cross multiply
    125.84x = 188.76 × 53.65
  4. Step 4: Simplify right side
    125.84x = 10,126.97
  5. Step 5: Solve for x
    x = 10,126.97/125.84
  6. Step 6: Final answer
    x = 80.48

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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.