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Finding the Fourth Proportional to 91.16, 125.82 and 56.22

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Solution

The fourth proportional to 91.16, 125.82 and 56.22 is: 77.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.16 : 125.82 = 56.22 : x
  2. Step 2: Convert to fraction form
    91.16/125.82 = 56.22/x
  3. Step 3: Cross multiply
    91.16x = 125.82 × 56.22
  4. Step 4: Simplify right side
    91.16x = 7,073.60
  5. Step 5: Solve for x
    x = 7,073.60/91.16
  6. Step 6: Final answer
    x = 77.60

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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.