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Finding the Fourth Proportional to 106.76, 160.08 and 49.01

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Solution

The fourth proportional to 106.76, 160.08 and 49.01 is: 73.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.76 : 160.08 = 49.01 : x
  2. Step 2: Convert to fraction form
    106.76/160.08 = 49.01/x
  3. Step 3: Cross multiply
    106.76x = 160.08 × 49.01
  4. Step 4: Simplify right side
    106.76x = 7,845.52
  5. Step 5: Solve for x
    x = 7,845.52/106.76
  6. Step 6: Final answer
    x = 73.49

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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.