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Finding the Fourth Proportional to 88.80, 122.56 and 51.96

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Solution

The fourth proportional to 88.80, 122.56 and 51.96 is: 71.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 122.56 = 51.96 : x
  2. Step 2: Convert to fraction form
    88.80/122.56 = 51.96/x
  3. Step 3: Cross multiply
    88.80x = 122.56 × 51.96
  4. Step 4: Simplify right side
    88.80x = 6,368.22
  5. Step 5: Solve for x
    x = 6,368.22/88.80
  6. Step 6: Final answer
    x = 71.71

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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.