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Finding the Fourth Proportional to 225.10, 337.70 and 71.02

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Solution

The fourth proportional to 225.10, 337.70 and 71.02 is: 106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.10 : 337.70 = 71.02 : x
  2. Step 2: Convert to fraction form
    225.10/337.70 = 71.02/x
  3. Step 3: Cross multiply
    225.10x = 337.70 × 71.02
  4. Step 4: Simplify right side
    225.10x = 23,983.45
  5. Step 5: Solve for x
    x = 23,983.45/225.10
  6. Step 6: Final answer
    x = 106.55

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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.