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Finding the Fourth Proportional to 91.02, 125.59 and 54.11

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Solution

The fourth proportional to 91.02, 125.59 and 54.11 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 125.59 = 54.11 : x
  2. Step 2: Convert to fraction form
    91.02/125.59 = 54.11/x
  3. Step 3: Cross multiply
    91.02x = 125.59 × 54.11
  4. Step 4: Simplify right side
    91.02x = 6,795.85
  5. Step 5: Solve for x
    x = 6,795.85/91.02
  6. Step 6: Final answer
    x = 74.66

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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.