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Finding the Fourth Proportional to 90.60, 135.84 and 78.60

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Solution

The fourth proportional to 90.60, 135.84 and 78.60 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.60 : 135.84 = 78.60 : x
  2. Step 2: Convert to fraction form
    90.60/135.84 = 78.60/x
  3. Step 3: Cross multiply
    90.60x = 135.84 × 78.60
  4. Step 4: Simplify right side
    90.60x = 10,677.02
  5. Step 5: Solve for x
    x = 10,677.02/90.60
  6. Step 6: Final answer
    x = 117.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.