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Finding the Fourth Proportional to 154.24, 212.64 and 105.17

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Solution

The fourth proportional to 154.24, 212.64 and 105.17 is: 144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 212.64 = 105.17 : x
  2. Step 2: Convert to fraction form
    154.24/212.64 = 105.17/x
  3. Step 3: Cross multiply
    154.24x = 212.64 × 105.17
  4. Step 4: Simplify right side
    154.24x = 22,363.35
  5. Step 5: Solve for x
    x = 22,363.35/154.24
  6. Step 6: Final answer
    x = 144.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.