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Finding the Fourth Proportional to 162.84, 224.71 and 89.15

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Solution

The fourth proportional to 162.84, 224.71 and 89.15 is: 123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.71 = 89.15 : x
  2. Step 2: Convert to fraction form
    162.84/224.71 = 89.15/x
  3. Step 3: Cross multiply
    162.84x = 224.71 × 89.15
  4. Step 4: Simplify right side
    162.84x = 20,034.21
  5. Step 5: Solve for x
    x = 20,034.21/162.84
  6. Step 6: Final answer
    x = 123.03

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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.