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Finding the Fourth Proportional to 145.54, 217.24 and 121.12

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Solution

The fourth proportional to 145.54, 217.24 and 121.12 is: 180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.54 : 217.24 = 121.12 : x
  2. Step 2: Convert to fraction form
    145.54/217.24 = 121.12/x
  3. Step 3: Cross multiply
    145.54x = 217.24 × 121.12
  4. Step 4: Simplify right side
    145.54x = 26,312.11
  5. Step 5: Solve for x
    x = 26,312.11/145.54
  6. Step 6: Final answer
    x = 180.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.