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Finding the Fourth Proportional to 145.80, 217.74 and 126.60

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Solution

The fourth proportional to 145.80, 217.74 and 126.60 is: 189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 217.74 = 126.60 : x
  2. Step 2: Convert to fraction form
    145.80/217.74 = 126.60/x
  3. Step 3: Cross multiply
    145.80x = 217.74 × 126.60
  4. Step 4: Simplify right side
    145.80x = 27,565.88
  5. Step 5: Solve for x
    x = 27,565.88/145.80
  6. Step 6: Final answer
    x = 189.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.