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Finding the Fourth Proportional to 107, 147.50 and 74.20

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Solution

The fourth proportional to 107, 147.50 and 74.20 is: 102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107 : 147.50 = 74.20 : x
  2. Step 2: Convert to fraction form
    107/147.50 = 74.20/x
  3. Step 3: Cross multiply
    107x = 147.50 × 74.20
  4. Step 4: Simplify right side
    107x = 10,944.50
  5. Step 5: Solve for x
    x = 10,944.50/107
  6. Step 6: Final answer
    x = 102.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.