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Finding the Fourth Proportional to 160.02, 220.77 and 123.16

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Solution

The fourth proportional to 160.02, 220.77 and 123.16 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 220.77 = 123.16 : x
  2. Step 2: Convert to fraction form
    160.02/220.77 = 123.16/x
  3. Step 3: Cross multiply
    160.02x = 220.77 × 123.16
  4. Step 4: Simplify right side
    160.02x = 27,190.03
  5. Step 5: Solve for x
    x = 27,190.03/160.02
  6. Step 6: Final answer
    x = 169.92

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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.