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Finding the Fourth Proportional to 88.80, 122.60 and 71.36

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Solution

The fourth proportional to 88.80, 122.60 and 71.36 is: 98.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 122.60 = 71.36 : x
  2. Step 2: Convert to fraction form
    88.80/122.60 = 71.36/x
  3. Step 3: Cross multiply
    88.80x = 122.60 × 71.36
  4. Step 4: Simplify right side
    88.80x = 8,748.74
  5. Step 5: Solve for x
    x = 8,748.74/88.80
  6. Step 6: Final answer
    x = 98.52

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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.