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Finding the Fourth Proportional to 147.18, 203 and 95.42

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Solution

The fourth proportional to 147.18, 203 and 95.42 is: 131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 203 = 95.42 : x
  2. Step 2: Convert to fraction form
    147.18/203 = 95.42/x
  3. Step 3: Cross multiply
    147.18x = 203 × 95.42
  4. Step 4: Simplify right side
    147.18x = 19,370.26
  5. Step 5: Solve for x
    x = 19,370.26/147.18
  6. Step 6: Final answer
    x = 131.61

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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.