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Finding the Fourth Proportional to 89.08, 122.96 and 58.06

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Solution

The fourth proportional to 89.08, 122.96 and 58.06 is: 80.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.08 : 122.96 = 58.06 : x
  2. Step 2: Convert to fraction form
    89.08/122.96 = 58.06/x
  3. Step 3: Cross multiply
    89.08x = 122.96 × 58.06
  4. Step 4: Simplify right side
    89.08x = 7,139.06
  5. Step 5: Solve for x
    x = 7,139.06/89.08
  6. Step 6: Final answer
    x = 80.14

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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.