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Finding the Fourth Proportional to 160.70, 221.76 and 87.01

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Solution

The fourth proportional to 160.70, 221.76 and 87.01 is: 120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.70 : 221.76 = 87.01 : x
  2. Step 2: Convert to fraction form
    160.70/221.76 = 87.01/x
  3. Step 3: Cross multiply
    160.70x = 221.76 × 87.01
  4. Step 4: Simplify right side
    160.70x = 19,295.61
  5. Step 5: Solve for x
    x = 19,295.61/160.70
  6. Step 6: Final answer
    x = 120.08

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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.