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Finding the Fourth Proportional to 142.16, 212.93 and 77.05

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Solution

The fourth proportional to 142.16, 212.93 and 77.05 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 212.93 = 77.05 : x
  2. Step 2: Convert to fraction form
    142.16/212.93 = 77.05/x
  3. Step 3: Cross multiply
    142.16x = 212.93 × 77.05
  4. Step 4: Simplify right side
    142.16x = 16,406.43
  5. Step 5: Solve for x
    x = 16,406.43/142.16
  6. Step 6: Final answer
    x = 115.41

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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.