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Finding the Fourth Proportional to 90.93, 125.19 and 77.08

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Solution

The fourth proportional to 90.93, 125.19 and 77.08 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.93 : 125.19 = 77.08 : x
  2. Step 2: Convert to fraction form
    90.93/125.19 = 77.08/x
  3. Step 3: Cross multiply
    90.93x = 125.19 × 77.08
  4. Step 4: Simplify right side
    90.93x = 9,649.65
  5. Step 5: Solve for x
    x = 9,649.65/90.93
  6. Step 6: Final answer
    x = 106.13

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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.