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Finding the Fourth Proportional to 102.65, 154.09 and 70.28

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Solution

The fourth proportional to 102.65, 154.09 and 70.28 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 154.09 = 70.28 : x
  2. Step 2: Convert to fraction form
    102.65/154.09 = 70.28/x
  3. Step 3: Cross multiply
    102.65x = 154.09 × 70.28
  4. Step 4: Simplify right side
    102.65x = 10,829.34
  5. Step 5: Solve for x
    x = 10,829.34/102.65
  6. Step 6: Final answer
    x = 105.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.