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Finding the Fourth Proportional to 70.51, 97.24 and 52.08

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Solution

The fourth proportional to 70.51, 97.24 and 52.08 is: 71.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.51 : 97.24 = 52.08 : x
  2. Step 2: Convert to fraction form
    70.51/97.24 = 52.08/x
  3. Step 3: Cross multiply
    70.51x = 97.24 × 52.08
  4. Step 4: Simplify right side
    70.51x = 5,063.51
  5. Step 5: Solve for x
    x = 5,063.51/70.51
  6. Step 6: Final answer
    x = 71.82

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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.