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Finding the Fourth Proportional to 144.58, 216.71 and 86.82

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Solution

The fourth proportional to 144.58, 216.71 and 86.82 is: 130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.58 : 216.71 = 86.82 : x
  2. Step 2: Convert to fraction form
    144.58/216.71 = 86.82/x
  3. Step 3: Cross multiply
    144.58x = 216.71 × 86.82
  4. Step 4: Simplify right side
    144.58x = 18,814.76
  5. Step 5: Solve for x
    x = 18,814.76/144.58
  6. Step 6: Final answer
    x = 130.13

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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.