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Finding the Fourth Proportional to 79.48, 119.71 and 75.64

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Solution

The fourth proportional to 79.48, 119.71 and 75.64 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.48 : 119.71 = 75.64 : x
  2. Step 2: Convert to fraction form
    79.48/119.71 = 75.64/x
  3. Step 3: Cross multiply
    79.48x = 119.71 × 75.64
  4. Step 4: Simplify right side
    79.48x = 9,054.86
  5. Step 5: Solve for x
    x = 9,054.86/79.48
  6. Step 6: Final answer
    x = 113.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.