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Finding the Fourth Proportional to 90.50, 124.54 and 69.68

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Solution

The fourth proportional to 90.50, 124.54 and 69.68 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.50 : 124.54 = 69.68 : x
  2. Step 2: Convert to fraction form
    90.50/124.54 = 69.68/x
  3. Step 3: Cross multiply
    90.50x = 124.54 × 69.68
  4. Step 4: Simplify right side
    90.50x = 8,678.08
  5. Step 5: Solve for x
    x = 8,678.08/90.50
  6. Step 6: Final answer
    x = 95.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.