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Finding the Fourth Proportional to 162.50, 224.36 and 103.52

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Solution

The fourth proportional to 162.50, 224.36 and 103.52 is: 142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.50 : 224.36 = 103.52 : x
  2. Step 2: Convert to fraction form
    162.50/224.36 = 103.52/x
  3. Step 3: Cross multiply
    162.50x = 224.36 × 103.52
  4. Step 4: Simplify right side
    162.50x = 23,225.75
  5. Step 5: Solve for x
    x = 23,225.75/162.50
  6. Step 6: Final answer
    x = 142.93

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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.