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Finding the Fourth Proportional to 164.59, 247.03 and 103.52

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Solution

The fourth proportional to 164.59, 247.03 and 103.52 is: 155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 247.03 = 103.52 : x
  2. Step 2: Convert to fraction form
    164.59/247.03 = 103.52/x
  3. Step 3: Cross multiply
    164.59x = 247.03 × 103.52
  4. Step 4: Simplify right side
    164.59x = 25,572.90
  5. Step 5: Solve for x
    x = 25,572.90/164.59
  6. Step 6: Final answer
    x = 155.38

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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.