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Finding the Fourth Proportional to 124.90, 187.22 and 56.33

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Solution

The fourth proportional to 124.90, 187.22 and 56.33 is: 84.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.90 : 187.22 = 56.33 : x
  2. Step 2: Convert to fraction form
    124.90/187.22 = 56.33/x
  3. Step 3: Cross multiply
    124.90x = 187.22 × 56.33
  4. Step 4: Simplify right side
    124.90x = 10,546.10
  5. Step 5: Solve for x
    x = 10,546.10/124.90
  6. Step 6: Final answer
    x = 84.44

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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.