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Finding the Fourth Proportional to 70.24, 106.02 and 69.52

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Solution

The fourth proportional to 70.24, 106.02 and 69.52 is: 104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 106.02 = 69.52 : x
  2. Step 2: Convert to fraction form
    70.24/106.02 = 69.52/x
  3. Step 3: Cross multiply
    70.24x = 106.02 × 69.52
  4. Step 4: Simplify right side
    70.24x = 7,370.51
  5. Step 5: Solve for x
    x = 7,370.51/70.24
  6. Step 6: Final answer
    x = 104.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.