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Finding the Fourth Proportional to 101.60, 152.32 and 93.60

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Solution

The fourth proportional to 101.60, 152.32 and 93.60 is: 140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.60 : 152.32 = 93.60 : x
  2. Step 2: Convert to fraction form
    101.60/152.32 = 93.60/x
  3. Step 3: Cross multiply
    101.60x = 152.32 × 93.60
  4. Step 4: Simplify right side
    101.60x = 14,257.15
  5. Step 5: Solve for x
    x = 14,257.15/101.60
  6. Step 6: Final answer
    x = 140.33

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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.