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Finding the Fourth Proportional to 103.40, 142.71 and 59.75

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Solution

The fourth proportional to 103.40, 142.71 and 59.75 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.40 : 142.71 = 59.75 : x
  2. Step 2: Convert to fraction form
    103.40/142.71 = 59.75/x
  3. Step 3: Cross multiply
    103.40x = 142.71 × 59.75
  4. Step 4: Simplify right side
    103.40x = 8,526.21
  5. Step 5: Solve for x
    x = 8,526.21/103.40
  6. Step 6: Final answer
    x = 82.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.