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Finding the Fourth Proportional to 162.56, 224.36 and 110.08

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Solution

The fourth proportional to 162.56, 224.36 and 110.08 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 224.36 = 110.08 : x
  2. Step 2: Convert to fraction form
    162.56/224.36 = 110.08/x
  3. Step 3: Cross multiply
    162.56x = 224.36 × 110.08
  4. Step 4: Simplify right side
    162.56x = 24,697.55
  5. Step 5: Solve for x
    x = 24,697.55/162.56
  6. Step 6: Final answer
    x = 151.93

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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.