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Finding the Fourth Proportional to 88.38, 122 and 59.32

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Solution

The fourth proportional to 88.38, 122 and 59.32 is: 81.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.38 : 122 = 59.32 : x
  2. Step 2: Convert to fraction form
    88.38/122 = 59.32/x
  3. Step 3: Cross multiply
    88.38x = 122 × 59.32
  4. Step 4: Simplify right side
    88.38x = 7,237.04
  5. Step 5: Solve for x
    x = 7,237.04/88.38
  6. Step 6: Final answer
    x = 81.89

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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.