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Finding the Fourth Proportional to 70.38, 106.16 and 70.38

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Solution

The fourth proportional to 70.38, 106.16 and 70.38 is: 106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.38 : 106.16 = 70.38 : x
  2. Step 2: Convert to fraction form
    70.38/106.16 = 70.38/x
  3. Step 3: Cross multiply
    70.38x = 106.16 × 70.38
  4. Step 4: Simplify right side
    70.38x = 7,471.19
  5. Step 5: Solve for x
    x = 7,471.19/70.38
  6. Step 6: Final answer
    x = 106.16

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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.