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Finding the Fourth Proportional to 142.80, 213.63 and 123.75

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Solution

The fourth proportional to 142.80, 213.63 and 123.75 is: 185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.80 : 213.63 = 123.75 : x
  2. Step 2: Convert to fraction form
    142.80/213.63 = 123.75/x
  3. Step 3: Cross multiply
    142.80x = 213.63 × 123.75
  4. Step 4: Simplify right side
    142.80x = 26,436.71
  5. Step 5: Solve for x
    x = 26,436.71/142.80
  6. Step 6: Final answer
    x = 185.13

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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.