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Finding the Fourth Proportional to 91.19, 125.81 and 53.83

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Solution

The fourth proportional to 91.19, 125.81 and 53.83 is: 74.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.19 : 125.81 = 53.83 : x
  2. Step 2: Convert to fraction form
    91.19/125.81 = 53.83/x
  3. Step 3: Cross multiply
    91.19x = 125.81 × 53.83
  4. Step 4: Simplify right side
    91.19x = 6,772.17
  5. Step 5: Solve for x
    x = 6,772.17/91.19
  6. Step 6: Final answer
    x = 74.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.