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Finding the Fourth Proportional to 104.93, 158.00 and 91.56

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Solution

The fourth proportional to 104.93, 158.00 and 91.56 is: 137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.93 : 158.00 = 91.56 : x
  2. Step 2: Convert to fraction form
    104.93/158.00 = 91.56/x
  3. Step 3: Cross multiply
    104.93x = 158.00 × 91.56
  4. Step 4: Simplify right side
    104.93x = 14,466.02
  5. Step 5: Solve for x
    x = 14,466.02/104.93
  6. Step 6: Final answer
    x = 137.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.