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Finding the Fourth Proportional to 134.18, 201.10 and 76.45

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Solution

The fourth proportional to 134.18, 201.10 and 76.45 is: 114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.18 : 201.10 = 76.45 : x
  2. Step 2: Convert to fraction form
    134.18/201.10 = 76.45/x
  3. Step 3: Cross multiply
    134.18x = 201.10 × 76.45
  4. Step 4: Simplify right side
    134.18x = 15,372.71
  5. Step 5: Solve for x
    x = 15,372.71/134.18
  6. Step 6: Final answer
    x = 114.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.