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Finding the Fourth Proportional to 88.48, 122.14 and 55.28

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Solution

The fourth proportional to 88.48, 122.14 and 55.28 is: 76.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.48 : 122.14 = 55.28 : x
  2. Step 2: Convert to fraction form
    88.48/122.14 = 55.28/x
  3. Step 3: Cross multiply
    88.48x = 122.14 × 55.28
  4. Step 4: Simplify right side
    88.48x = 6,751.90
  5. Step 5: Solve for x
    x = 6,751.90/88.48
  6. Step 6: Final answer
    x = 76.31

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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.