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Finding the Fourth Proportional to 145.91, 201.35 and 83.74

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Solution

The fourth proportional to 145.91, 201.35 and 83.74 is: 115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.91 : 201.35 = 83.74 : x
  2. Step 2: Convert to fraction form
    145.91/201.35 = 83.74/x
  3. Step 3: Cross multiply
    145.91x = 201.35 × 83.74
  4. Step 4: Simplify right side
    145.91x = 16,860.75
  5. Step 5: Solve for x
    x = 16,860.75/145.91
  6. Step 6: Final answer
    x = 115.55

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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.