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Finding the Fourth Proportional to 124.56, 186.76 and 75.66

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Solution

The fourth proportional to 124.56, 186.76 and 75.66 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 186.76 = 75.66 : x
  2. Step 2: Convert to fraction form
    124.56/186.76 = 75.66/x
  3. Step 3: Cross multiply
    124.56x = 186.76 × 75.66
  4. Step 4: Simplify right side
    124.56x = 14,130.26
  5. Step 5: Solve for x
    x = 14,130.26/124.56
  6. Step 6: Final answer
    x = 113.44

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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.