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Finding the Fourth Proportional to 148.87, 205.48 and 90.70

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Solution

The fourth proportional to 148.87, 205.48 and 90.70 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.87 : 205.48 = 90.70 : x
  2. Step 2: Convert to fraction form
    148.87/205.48 = 90.70/x
  3. Step 3: Cross multiply
    148.87x = 205.48 × 90.70
  4. Step 4: Simplify right side
    148.87x = 18,636.30
  5. Step 5: Solve for x
    x = 18,636.30/148.87
  6. Step 6: Final answer
    x = 125.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.