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Finding the Fourth Proportional to 160.16, 220.97 and 101.13

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Solution

The fourth proportional to 160.16, 220.97 and 101.13 is: 139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 220.97 = 101.13 : x
  2. Step 2: Convert to fraction form
    160.16/220.97 = 101.13/x
  3. Step 3: Cross multiply
    160.16x = 220.97 × 101.13
  4. Step 4: Simplify right side
    160.16x = 22,346.19
  5. Step 5: Solve for x
    x = 22,346.19/160.16
  6. Step 6: Final answer
    x = 139.53

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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.