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Finding the Fourth Proportional to 160, 220.82 and 90.07

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Solution

The fourth proportional to 160, 220.82 and 90.07 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 220.82 = 90.07 : x
  2. Step 2: Convert to fraction form
    160/220.82 = 90.07/x
  3. Step 3: Cross multiply
    160x = 220.82 × 90.07
  4. Step 4: Simplify right side
    160x = 19,889.26
  5. Step 5: Solve for x
    x = 19,889.26/160
  6. Step 6: Final answer
    x = 124.31

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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.