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Finding the Fourth Proportional to 162.95, 224.66 and 123.64

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Solution

The fourth proportional to 162.95, 224.66 and 123.64 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 224.66 = 123.64 : x
  2. Step 2: Convert to fraction form
    162.95/224.66 = 123.64/x
  3. Step 3: Cross multiply
    162.95x = 224.66 × 123.64
  4. Step 4: Simplify right side
    162.95x = 27,777.28
  5. Step 5: Solve for x
    x = 27,777.28/162.95
  6. Step 6: Final answer
    x = 170.47

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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.