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Finding the Fourth Proportional to 91.15, 125.73 and 56.16

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Solution

The fourth proportional to 91.15, 125.73 and 56.16 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.15 : 125.73 = 56.16 : x
  2. Step 2: Convert to fraction form
    91.15/125.73 = 56.16/x
  3. Step 3: Cross multiply
    91.15x = 125.73 × 56.16
  4. Step 4: Simplify right side
    91.15x = 7,061.00
  5. Step 5: Solve for x
    x = 7,061.00/91.15
  6. Step 6: Final answer
    x = 77.47

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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.