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Finding the Fourth Proportional to 160.05, 220.88 and 90.12

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Solution

The fourth proportional to 160.05, 220.88 and 90.12 is: 124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.05 : 220.88 = 90.12 : x
  2. Step 2: Convert to fraction form
    160.05/220.88 = 90.12/x
  3. Step 3: Cross multiply
    160.05x = 220.88 × 90.12
  4. Step 4: Simplify right side
    160.05x = 19,905.71
  5. Step 5: Solve for x
    x = 19,905.71/160.05
  6. Step 6: Final answer
    x = 124.37

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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.