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Finding the Fourth Proportional to 103.12, 142.26 and 64.34

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Solution

The fourth proportional to 103.12, 142.26 and 64.34 is: 88.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 142.26 = 64.34 : x
  2. Step 2: Convert to fraction form
    103.12/142.26 = 64.34/x
  3. Step 3: Cross multiply
    103.12x = 142.26 × 64.34
  4. Step 4: Simplify right side
    103.12x = 9,153.01
  5. Step 5: Solve for x
    x = 9,153.01/103.12
  6. Step 6: Final answer
    x = 88.76

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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.