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Finding the Fourth Proportional to 102.82, 141.77 and 95.53

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Solution

The fourth proportional to 102.82, 141.77 and 95.53 is: 131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 141.77 = 95.53 : x
  2. Step 2: Convert to fraction form
    102.82/141.77 = 95.53/x
  3. Step 3: Cross multiply
    102.82x = 141.77 × 95.53
  4. Step 4: Simplify right side
    102.82x = 13,543.53
  5. Step 5: Solve for x
    x = 13,543.53/102.82
  6. Step 6: Final answer
    x = 131.72

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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.