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Finding the Fourth Proportional to 106.78, 160.11 and 64.06

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Solution

The fourth proportional to 106.78, 160.11 and 64.06 is: 96.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 160.11 = 64.06 : x
  2. Step 2: Convert to fraction form
    106.78/160.11 = 64.06/x
  3. Step 3: Cross multiply
    106.78x = 160.11 × 64.06
  4. Step 4: Simplify right side
    106.78x = 10,256.65
  5. Step 5: Solve for x
    x = 10,256.65/106.78
  6. Step 6: Final answer
    x = 96.05

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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.