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Finding the Fourth Proportional to 96.14, 144.28 and 48.06

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Solution

The fourth proportional to 96.14, 144.28 and 48.06 is: 72.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 144.28 = 48.06 : x
  2. Step 2: Convert to fraction form
    96.14/144.28 = 48.06/x
  3. Step 3: Cross multiply
    96.14x = 144.28 × 48.06
  4. Step 4: Simplify right side
    96.14x = 6,934.10
  5. Step 5: Solve for x
    x = 6,934.10/96.14
  6. Step 6: Final answer
    x = 72.12

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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.