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Finding the Fourth Proportional to 148.57, 205 and 99.52

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Solution

The fourth proportional to 148.57, 205 and 99.52 is: 137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 205 = 99.52 : x
  2. Step 2: Convert to fraction form
    148.57/205 = 99.52/x
  3. Step 3: Cross multiply
    148.57x = 205 × 99.52
  4. Step 4: Simplify right side
    148.57x = 20,401.60
  5. Step 5: Solve for x
    x = 20,401.60/148.57
  6. Step 6: Final answer
    x = 137.32

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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.