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Finding the Fourth Proportional to 107.56, 148.47 and 70.82

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Solution

The fourth proportional to 107.56, 148.47 and 70.82 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.56 : 148.47 = 70.82 : x
  2. Step 2: Convert to fraction form
    107.56/148.47 = 70.82/x
  3. Step 3: Cross multiply
    107.56x = 148.47 × 70.82
  4. Step 4: Simplify right side
    107.56x = 10,514.65
  5. Step 5: Solve for x
    x = 10,514.65/107.56
  6. Step 6: Final answer
    x = 97.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.