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Finding the Fourth Proportional to 88.57, 122.11 and 72.16

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Solution

The fourth proportional to 88.57, 122.11 and 72.16 is: 99.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.57 : 122.11 = 72.16 : x
  2. Step 2: Convert to fraction form
    88.57/122.11 = 72.16/x
  3. Step 3: Cross multiply
    88.57x = 122.11 × 72.16
  4. Step 4: Simplify right side
    88.57x = 8,811.46
  5. Step 5: Solve for x
    x = 8,811.46/88.57
  6. Step 6: Final answer
    x = 99.49

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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.