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Finding the Fourth Proportional to 162.84, 224.80 and 110.66

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Solution

The fourth proportional to 162.84, 224.80 and 110.66 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.80 = 110.66 : x
  2. Step 2: Convert to fraction form
    162.84/224.80 = 110.66/x
  3. Step 3: Cross multiply
    162.84x = 224.80 × 110.66
  4. Step 4: Simplify right side
    162.84x = 24,874.69
  5. Step 5: Solve for x
    x = 24,874.69/162.84
  6. Step 6: Final answer
    x = 152.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.