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Finding the Fourth Proportional to 103.12, 142.32 and 70.48

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Solution

The fourth proportional to 103.12, 142.32 and 70.48 is: 97.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 142.32 = 70.48 : x
  2. Step 2: Convert to fraction form
    103.12/142.32 = 70.48/x
  3. Step 3: Cross multiply
    103.12x = 142.32 × 70.48
  4. Step 4: Simplify right side
    103.12x = 10,030.71
  5. Step 5: Solve for x
    x = 10,030.71/103.12
  6. Step 6: Final answer
    x = 97.27

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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.