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Finding the Fourth Proportional to 89.16, 123.16 and 75.32

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Solution

The fourth proportional to 89.16, 123.16 and 75.32 is: 104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 123.16 = 75.32 : x
  2. Step 2: Convert to fraction form
    89.16/123.16 = 75.32/x
  3. Step 3: Cross multiply
    89.16x = 123.16 × 75.32
  4. Step 4: Simplify right side
    89.16x = 9,276.41
  5. Step 5: Solve for x
    x = 9,276.41/89.16
  6. Step 6: Final answer
    x = 104.04

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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.