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Finding the Fourth Proportional to 155.30, 214.25 and 102.92

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Solution

The fourth proportional to 155.30, 214.25 and 102.92 is: 141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.30 : 214.25 = 102.92 : x
  2. Step 2: Convert to fraction form
    155.30/214.25 = 102.92/x
  3. Step 3: Cross multiply
    155.30x = 214.25 × 102.92
  4. Step 4: Simplify right side
    155.30x = 22,049.02
  5. Step 5: Solve for x
    x = 22,049.02/155.30
  6. Step 6: Final answer
    x = 141.98

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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.