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Finding the Fourth Proportional to 89.29, 123.28 and 58.28

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Solution

The fourth proportional to 89.29, 123.28 and 58.28 is: 80.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.29 : 123.28 = 58.28 : x
  2. Step 2: Convert to fraction form
    89.29/123.28 = 58.28/x
  3. Step 3: Cross multiply
    89.29x = 123.28 × 58.28
  4. Step 4: Simplify right side
    89.29x = 7,184.92
  5. Step 5: Solve for x
    x = 7,184.92/89.29
  6. Step 6: Final answer
    x = 80.47

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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.