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Finding the Fourth Proportional to 160.16, 220.95 and 101.12

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Solution

The fourth proportional to 160.16, 220.95 and 101.12 is: 139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 220.95 = 101.12 : x
  2. Step 2: Convert to fraction form
    160.16/220.95 = 101.12/x
  3. Step 3: Cross multiply
    160.16x = 220.95 × 101.12
  4. Step 4: Simplify right side
    160.16x = 22,343.02
  5. Step 5: Solve for x
    x = 22,343.02/160.16
  6. Step 6: Final answer
    x = 139.51

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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.