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Finding the Fourth Proportional to 106.78, 160.25 and 58.06

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Solution

The fourth proportional to 106.78, 160.25 and 58.06 is: 87.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 160.25 = 58.06 : x
  2. Step 2: Convert to fraction form
    106.78/160.25 = 58.06/x
  3. Step 3: Cross multiply
    106.78x = 160.25 × 58.06
  4. Step 4: Simplify right side
    106.78x = 9,304.12
  5. Step 5: Solve for x
    x = 9,304.12/106.78
  6. Step 6: Final answer
    x = 87.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.