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Finding the Fourth Proportional to 107.60, 147.54 and 97.20

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Solution

The fourth proportional to 107.60, 147.54 and 97.20 is: 133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 147.54 = 97.20 : x
  2. Step 2: Convert to fraction form
    107.60/147.54 = 97.20/x
  3. Step 3: Cross multiply
    107.60x = 147.54 × 97.20
  4. Step 4: Simplify right side
    107.60x = 14,340.89
  5. Step 5: Solve for x
    x = 14,340.89/107.60
  6. Step 6: Final answer
    x = 133.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.