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Finding the Fourth Proportional to 88.04, 121.62 and 76.52

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Solution

The fourth proportional to 88.04, 121.62 and 76.52 is: 105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.04 : 121.62 = 76.52 : x
  2. Step 2: Convert to fraction form
    88.04/121.62 = 76.52/x
  3. Step 3: Cross multiply
    88.04x = 121.62 × 76.52
  4. Step 4: Simplify right side
    88.04x = 9,306.36
  5. Step 5: Solve for x
    x = 9,306.36/88.04
  6. Step 6: Final answer
    x = 105.71

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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.