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Finding the Fourth Proportional to 60.22, 89.96 and 59.23

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Solution

The fourth proportional to 60.22, 89.96 and 59.23 is: 88.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.22 : 89.96 = 59.23 : x
  2. Step 2: Convert to fraction form
    60.22/89.96 = 59.23/x
  3. Step 3: Cross multiply
    60.22x = 89.96 × 59.23
  4. Step 4: Simplify right side
    60.22x = 5,328.33
  5. Step 5: Solve for x
    x = 5,328.33/60.22
  6. Step 6: Final answer
    x = 88.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.