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Finding the Fourth Proportional to 89.25, 123.13 and 65.98

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Solution

The fourth proportional to 89.25, 123.13 and 65.98 is: 91.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.25 : 123.13 = 65.98 : x
  2. Step 2: Convert to fraction form
    89.25/123.13 = 65.98/x
  3. Step 3: Cross multiply
    89.25x = 123.13 × 65.98
  4. Step 4: Simplify right side
    89.25x = 8,124.12
  5. Step 5: Solve for x
    x = 8,124.12/89.25
  6. Step 6: Final answer
    x = 91.03

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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.