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Finding the Fourth Proportional to 148.88, 205.47 and 99.76

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Solution

The fourth proportional to 148.88, 205.47 and 99.76 is: 137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 205.47 = 99.76 : x
  2. Step 2: Convert to fraction form
    148.88/205.47 = 99.76/x
  3. Step 3: Cross multiply
    148.88x = 205.47 × 99.76
  4. Step 4: Simplify right side
    148.88x = 20,497.69
  5. Step 5: Solve for x
    x = 20,497.69/148.88
  6. Step 6: Final answer
    x = 137.68

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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.