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Finding the Fourth Proportional to 147.57, 221.12 and 98.14

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Solution

The fourth proportional to 147.57, 221.12 and 98.14 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.57 : 221.12 = 98.14 : x
  2. Step 2: Convert to fraction form
    147.57/221.12 = 98.14/x
  3. Step 3: Cross multiply
    147.57x = 221.12 × 98.14
  4. Step 4: Simplify right side
    147.57x = 21,700.18
  5. Step 5: Solve for x
    x = 21,700.18/147.57
  6. Step 6: Final answer
    x = 147.05

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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.