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Finding the Fourth Proportional to 142, 212.82 and 105.64

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Solution

The fourth proportional to 142, 212.82 and 105.64 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 212.82 = 105.64 : x
  2. Step 2: Convert to fraction form
    142/212.82 = 105.64/x
  3. Step 3: Cross multiply
    142x = 212.82 × 105.64
  4. Step 4: Simplify right side
    142x = 22,482.30
  5. Step 5: Solve for x
    x = 22,482.30/142
  6. Step 6: Final answer
    x = 158.33

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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.