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Finding the Fourth Proportional to 70.05, 105.51 and 52.13

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Solution

The fourth proportional to 70.05, 105.51 and 52.13 is: 78.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.05 : 105.51 = 52.13 : x
  2. Step 2: Convert to fraction form
    70.05/105.51 = 52.13/x
  3. Step 3: Cross multiply
    70.05x = 105.51 × 52.13
  4. Step 4: Simplify right side
    70.05x = 5,499.71
  5. Step 5: Solve for x
    x = 5,499.71/70.05
  6. Step 6: Final answer
    x = 78.51

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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.