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Finding the Fourth Proportional to 88.29, 132.42 and 49.77

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Solution

The fourth proportional to 88.29, 132.42 and 49.77 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 132.42 = 49.77 : x
  2. Step 2: Convert to fraction form
    88.29/132.42 = 49.77/x
  3. Step 3: Cross multiply
    88.29x = 132.42 × 49.77
  4. Step 4: Simplify right side
    88.29x = 6,590.54
  5. Step 5: Solve for x
    x = 6,590.54/88.29
  6. Step 6: Final answer
    x = 74.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.