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Finding the Fourth Proportional to 70.65, 105.24 and 67.14

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Solution

The fourth proportional to 70.65, 105.24 and 67.14 is: 100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 105.24 = 67.14 : x
  2. Step 2: Convert to fraction form
    70.65/105.24 = 67.14/x
  3. Step 3: Cross multiply
    70.65x = 105.24 × 67.14
  4. Step 4: Simplify right side
    70.65x = 7,065.81
  5. Step 5: Solve for x
    x = 7,065.81/70.65
  6. Step 6: Final answer
    x = 100.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.