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Finding the Fourth Proportional to 88.50, 122.16 and 59.40

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Solution

The fourth proportional to 88.50, 122.16 and 59.40 is: 81.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.50 : 122.16 = 59.40 : x
  2. Step 2: Convert to fraction form
    88.50/122.16 = 59.40/x
  3. Step 3: Cross multiply
    88.50x = 122.16 × 59.40
  4. Step 4: Simplify right side
    88.50x = 7,256.30
  5. Step 5: Solve for x
    x = 7,256.30/88.50
  6. Step 6: Final answer
    x = 81.99

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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.