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Finding the Fourth Proportional to 147.08, 220.45 and 95.75

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Solution

The fourth proportional to 147.08, 220.45 and 95.75 is: 143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.08 : 220.45 = 95.75 : x
  2. Step 2: Convert to fraction form
    147.08/220.45 = 95.75/x
  3. Step 3: Cross multiply
    147.08x = 220.45 × 95.75
  4. Step 4: Simplify right side
    147.08x = 21,108.64
  5. Step 5: Solve for x
    x = 21,108.64/147.08
  6. Step 6: Final answer
    x = 143.52

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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.