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Finding the Fourth Proportional to 160.55, 221.65 and 123.63

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Solution

The fourth proportional to 160.55, 221.65 and 123.63 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.55 : 221.65 = 123.63 : x
  2. Step 2: Convert to fraction form
    160.55/221.65 = 123.63/x
  3. Step 3: Cross multiply
    160.55x = 221.65 × 123.63
  4. Step 4: Simplify right side
    160.55x = 27,402.28
  5. Step 5: Solve for x
    x = 27,402.28/160.55
  6. Step 6: Final answer
    x = 170.67

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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.