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Finding the Fourth Proportional to 130.48, 179.94 and 83.77

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Solution

The fourth proportional to 130.48, 179.94 and 83.77 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.48 : 179.94 = 83.77 : x
  2. Step 2: Convert to fraction form
    130.48/179.94 = 83.77/x
  3. Step 3: Cross multiply
    130.48x = 179.94 × 83.77
  4. Step 4: Simplify right side
    130.48x = 15,074.11
  5. Step 5: Solve for x
    x = 15,074.11/130.48
  6. Step 6: Final answer
    x = 115.53

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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.