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Finding the Fourth Proportional to 132.90, 183.36 and 101.76

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Solution

The fourth proportional to 132.90, 183.36 and 101.76 is: 140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.90 : 183.36 = 101.76 : x
  2. Step 2: Convert to fraction form
    132.90/183.36 = 101.76/x
  3. Step 3: Cross multiply
    132.90x = 183.36 × 101.76
  4. Step 4: Simplify right side
    132.90x = 18,658.71
  5. Step 5: Solve for x
    x = 18,658.71/132.90
  6. Step 6: Final answer
    x = 140.40

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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.