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Finding the Fourth Proportional to 71.43, 106.30 and 69.00

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Solution

The fourth proportional to 71.43, 106.30 and 69.00 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.43 : 106.30 = 69.00 : x
  2. Step 2: Convert to fraction form
    71.43/106.30 = 69.00/x
  3. Step 3: Cross multiply
    71.43x = 106.30 × 69.00
  4. Step 4: Simplify right side
    71.43x = 7,334.39
  5. Step 5: Solve for x
    x = 7,334.39/71.43
  6. Step 6: Final answer
    x = 102.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.