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Finding the Fourth Proportional to 160.10, 220.85 and 94.58

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Solution

The fourth proportional to 160.10, 220.85 and 94.58 is: 130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 220.85 = 94.58 : x
  2. Step 2: Convert to fraction form
    160.10/220.85 = 94.58/x
  3. Step 3: Cross multiply
    160.10x = 220.85 × 94.58
  4. Step 4: Simplify right side
    160.10x = 20,886.89
  5. Step 5: Solve for x
    x = 20,886.89/160.10
  6. Step 6: Final answer
    x = 130.47

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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.