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Finding the Fourth Proportional to 90.99, 135.82 and 78.23

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Solution

The fourth proportional to 90.99, 135.82 and 78.23 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.99 : 135.82 = 78.23 : x
  2. Step 2: Convert to fraction form
    90.99/135.82 = 78.23/x
  3. Step 3: Cross multiply
    90.99x = 135.82 × 78.23
  4. Step 4: Simplify right side
    90.99x = 10,624.81
  5. Step 5: Solve for x
    x = 10,624.81/90.99
  6. Step 6: Final answer
    x = 116.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.