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Finding the Fourth Proportional to 71.51, 107.84 and 70.74

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Solution

The fourth proportional to 71.51, 107.84 and 70.74 is: 106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.51 : 107.84 = 70.74 : x
  2. Step 2: Convert to fraction form
    71.51/107.84 = 70.74/x
  3. Step 3: Cross multiply
    71.51x = 107.84 × 70.74
  4. Step 4: Simplify right side
    71.51x = 7,628.78
  5. Step 5: Solve for x
    x = 7,628.78/71.51
  6. Step 6: Final answer
    x = 106.69

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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.