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Finding the Fourth Proportional to 76.60, 114.80 and 42.39

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Solution

The fourth proportional to 76.60, 114.80 and 42.39 is: 63.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.60 : 114.80 = 42.39 : x
  2. Step 2: Convert to fraction form
    76.60/114.80 = 42.39/x
  3. Step 3: Cross multiply
    76.60x = 114.80 × 42.39
  4. Step 4: Simplify right side
    76.60x = 4,865.59
  5. Step 5: Solve for x
    x = 4,865.59/76.60
  6. Step 6: Final answer
    x = 63.52

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