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Finding the Fourth Proportional to 91.00, 125.52 and 57.83

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Solution

The fourth proportional to 91.00, 125.52 and 57.83 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.00 : 125.52 = 57.83 : x
  2. Step 2: Convert to fraction form
    91.00/125.52 = 57.83/x
  3. Step 3: Cross multiply
    91.00x = 125.52 × 57.83
  4. Step 4: Simplify right side
    91.00x = 7,258.19
  5. Step 5: Solve for x
    x = 7,258.19/91.00
  6. Step 6: Final answer
    x = 79.76

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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.