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Finding the Fourth Proportional to 90.17, 124.09 and 79.77

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Solution

The fourth proportional to 90.17, 124.09 and 79.77 is: 109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.17 : 124.09 = 79.77 : x
  2. Step 2: Convert to fraction form
    90.17/124.09 = 79.77/x
  3. Step 3: Cross multiply
    90.17x = 124.09 × 79.77
  4. Step 4: Simplify right side
    90.17x = 9,898.66
  5. Step 5: Solve for x
    x = 9,898.66/90.17
  6. Step 6: Final answer
    x = 109.78

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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.