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Finding the Fourth Proportional to 160.53, 221.47 and 102.28

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Solution

The fourth proportional to 160.53, 221.47 and 102.28 is: 141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 221.47 = 102.28 : x
  2. Step 2: Convert to fraction form
    160.53/221.47 = 102.28/x
  3. Step 3: Cross multiply
    160.53x = 221.47 × 102.28
  4. Step 4: Simplify right side
    160.53x = 22,651.95
  5. Step 5: Solve for x
    x = 22,651.95/160.53
  6. Step 6: Final answer
    x = 141.11

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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.