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Finding the Fourth Proportional to 145.17, 217.71 and 48.96

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Solution

The fourth proportional to 145.17, 217.71 and 48.96 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.17 : 217.71 = 48.96 : x
  2. Step 2: Convert to fraction form
    145.17/217.71 = 48.96/x
  3. Step 3: Cross multiply
    145.17x = 217.71 × 48.96
  4. Step 4: Simplify right side
    145.17x = 10,659.08
  5. Step 5: Solve for x
    x = 10,659.08/145.17
  6. Step 6: Final answer
    x = 73.42

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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.