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Finding the Fourth Proportional to 124.32, 186.38 and 76.21

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Solution

The fourth proportional to 124.32, 186.38 and 76.21 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 186.38 = 76.21 : x
  2. Step 2: Convert to fraction form
    124.32/186.38 = 76.21/x
  3. Step 3: Cross multiply
    124.32x = 186.38 × 76.21
  4. Step 4: Simplify right side
    124.32x = 14,204.02
  5. Step 5: Solve for x
    x = 14,204.02/124.32
  6. Step 6: Final answer
    x = 114.25

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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.