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Finding the Fourth Proportional to 162.84, 224.72 and 89.16

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Solution

The fourth proportional to 162.84, 224.72 and 89.16 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.72 = 89.16 : x
  2. Step 2: Convert to fraction form
    162.84/224.72 = 89.16/x
  3. Step 3: Cross multiply
    162.84x = 224.72 × 89.16
  4. Step 4: Simplify right side
    162.84x = 20,034.83
  5. Step 5: Solve for x
    x = 20,034.83/162.84
  6. Step 6: Final answer
    x = 123.04

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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.