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Finding the Fourth Proportional to 155.48, 214.71 and 105.71

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Solution

The fourth proportional to 155.48, 214.71 and 105.71 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.48 : 214.71 = 105.71 : x
  2. Step 2: Convert to fraction form
    155.48/214.71 = 105.71/x
  3. Step 3: Cross multiply
    155.48x = 214.71 × 105.71
  4. Step 4: Simplify right side
    155.48x = 22,696.27
  5. Step 5: Solve for x
    x = 22,696.27/155.48
  6. Step 6: Final answer
    x = 145.97

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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.