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Finding the Fourth Proportional to 124.95, 187.35 and 76.22

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Solution

The fourth proportional to 124.95, 187.35 and 76.22 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.95 : 187.35 = 76.22 : x
  2. Step 2: Convert to fraction form
    124.95/187.35 = 76.22/x
  3. Step 3: Cross multiply
    124.95x = 187.35 × 76.22
  4. Step 4: Simplify right side
    124.95x = 14,279.82
  5. Step 5: Solve for x
    x = 14,279.82/124.95
  6. Step 6: Final answer
    x = 114.28

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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.