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Finding the Fourth Proportional to 107.65, 148.53 and 70.75

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Solution

The fourth proportional to 107.65, 148.53 and 70.75 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.65 : 148.53 = 70.75 : x
  2. Step 2: Convert to fraction form
    107.65/148.53 = 70.75/x
  3. Step 3: Cross multiply
    107.65x = 148.53 × 70.75
  4. Step 4: Simplify right side
    107.65x = 10,508.50
  5. Step 5: Solve for x
    x = 10,508.50/107.65
  6. Step 6: Final answer
    x = 97.62

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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.