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Finding the Fourth Proportional to 72.30, 107.92 and 70.48

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Solution

The fourth proportional to 72.30, 107.92 and 70.48 is: 105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.30 : 107.92 = 70.48 : x
  2. Step 2: Convert to fraction form
    72.30/107.92 = 70.48/x
  3. Step 3: Cross multiply
    72.30x = 107.92 × 70.48
  4. Step 4: Simplify right side
    72.30x = 7,606.20
  5. Step 5: Solve for x
    x = 7,606.20/72.30
  6. Step 6: Final answer
    x = 105.20

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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.