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Finding the Fourth Proportional to 155.48, 214.66 and 103.88

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Solution

The fourth proportional to 155.48, 214.66 and 103.88 is: 143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.48 : 214.66 = 103.88 : x
  2. Step 2: Convert to fraction form
    155.48/214.66 = 103.88/x
  3. Step 3: Cross multiply
    155.48x = 214.66 × 103.88
  4. Step 4: Simplify right side
    155.48x = 22,298.88
  5. Step 5: Solve for x
    x = 22,298.88/155.48
  6. Step 6: Final answer
    x = 143.42

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