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Finding the Fourth Proportional to 142.80, 214.06 and 77.75

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Solution

The fourth proportional to 142.80, 214.06 and 77.75 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.80 : 214.06 = 77.75 : x
  2. Step 2: Convert to fraction form
    142.80/214.06 = 77.75/x
  3. Step 3: Cross multiply
    142.80x = 214.06 × 77.75
  4. Step 4: Simplify right side
    142.80x = 16,643.17
  5. Step 5: Solve for x
    x = 16,643.17/142.80
  6. Step 6: Final answer
    x = 116.55

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Why These Related Problems?

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