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Finding the Fourth Proportional to 142.08, 213 and 69.84

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Solution

The fourth proportional to 142.08, 213 and 69.84 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.08 : 213 = 69.84 : x
  2. Step 2: Convert to fraction form
    142.08/213 = 69.84/x
  3. Step 3: Cross multiply
    142.08x = 213 × 69.84
  4. Step 4: Simplify right side
    142.08x = 14,875.92
  5. Step 5: Solve for x
    x = 14,875.92/142.08
  6. Step 6: Final answer
    x = 104.70

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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.