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Finding the Fourth Proportional to 91.70, 126.44 and 76.98

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Solution

The fourth proportional to 91.70, 126.44 and 76.98 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.70 : 126.44 = 76.98 : x
  2. Step 2: Convert to fraction form
    91.70/126.44 = 76.98/x
  3. Step 3: Cross multiply
    91.70x = 126.44 × 76.98
  4. Step 4: Simplify right side
    91.70x = 9,733.35
  5. Step 5: Solve for x
    x = 9,733.35/91.70
  6. Step 6: Final answer
    x = 106.14

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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.