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Finding the Fourth Proportional to 90.42, 124.84 and 69.66

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Solution

The fourth proportional to 90.42, 124.84 and 69.66 is: 96.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.42 : 124.84 = 69.66 : x
  2. Step 2: Convert to fraction form
    90.42/124.84 = 69.66/x
  3. Step 3: Cross multiply
    90.42x = 124.84 × 69.66
  4. Step 4: Simplify right side
    90.42x = 8,696.31
  5. Step 5: Solve for x
    x = 8,696.31/90.42
  6. Step 6: Final answer
    x = 96.17

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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.