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Finding the Fourth Proportional to 160.93, 222.08 and 87.24

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Solution

The fourth proportional to 160.93, 222.08 and 87.24 is: 120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.93 : 222.08 = 87.24 : x
  2. Step 2: Convert to fraction form
    160.93/222.08 = 87.24/x
  3. Step 3: Cross multiply
    160.93x = 222.08 × 87.24
  4. Step 4: Simplify right side
    160.93x = 19,374.98
  5. Step 5: Solve for x
    x = 19,374.98/160.93
  6. Step 6: Final answer
    x = 120.40

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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.