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Finding the Fourth Proportional to 101.95, 141.34 and 96.48

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Solution

The fourth proportional to 101.95, 141.34 and 96.48 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.95 : 141.34 = 96.48 : x
  2. Step 2: Convert to fraction form
    101.95/141.34 = 96.48/x
  3. Step 3: Cross multiply
    101.95x = 141.34 × 96.48
  4. Step 4: Simplify right side
    101.95x = 13,636.48
  5. Step 5: Solve for x
    x = 13,636.48/101.95
  6. Step 6: Final answer
    x = 133.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.