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Finding the Fourth Proportional to 145.35, 217.78 and 91.13

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Solution

The fourth proportional to 145.35, 217.78 and 91.13 is: 136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.35 : 217.78 = 91.13 : x
  2. Step 2: Convert to fraction form
    145.35/217.78 = 91.13/x
  3. Step 3: Cross multiply
    145.35x = 217.78 × 91.13
  4. Step 4: Simplify right side
    145.35x = 19,844.97
  5. Step 5: Solve for x
    x = 19,844.97/145.35
  6. Step 6: Final answer
    x = 136.53

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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.