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Finding the Fourth Proportional to 83.16, 124.70 and 37.50

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Solution

The fourth proportional to 83.16, 124.70 and 37.50 is: 56.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 124.70 = 37.50 : x
  2. Step 2: Convert to fraction form
    83.16/124.70 = 37.50/x
  3. Step 3: Cross multiply
    83.16x = 124.70 × 37.50
  4. Step 4: Simplify right side
    83.16x = 4,676.25
  5. Step 5: Solve for x
    x = 4,676.25/83.16
  6. Step 6: Final answer
    x = 56.23

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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.