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Finding the Fourth Proportional to 107.06, 148.47 and 101.60

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Solution

The fourth proportional to 107.06, 148.47 and 101.60 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.06 : 148.47 = 101.60 : x
  2. Step 2: Convert to fraction form
    107.06/148.47 = 101.60/x
  3. Step 3: Cross multiply
    107.06x = 148.47 × 101.60
  4. Step 4: Simplify right side
    107.06x = 15,084.55
  5. Step 5: Solve for x
    x = 15,084.55/107.06
  6. Step 6: Final answer
    x = 140.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.