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Finding the Fourth Proportional to 70.56, 106.38 and 65.34

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Solution

The fourth proportional to 70.56, 106.38 and 65.34 is: 98.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.56 : 106.38 = 65.34 : x
  2. Step 2: Convert to fraction form
    70.56/106.38 = 65.34/x
  3. Step 3: Cross multiply
    70.56x = 106.38 × 65.34
  4. Step 4: Simplify right side
    70.56x = 6,950.87
  5. Step 5: Solve for x
    x = 6,950.87/70.56
  6. Step 6: Final answer
    x = 98.51

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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.