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Finding the Fourth Proportional to 106.97, 160.45 and 29.93

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Solution

The fourth proportional to 106.97, 160.45 and 29.93 is: 44.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 160.45 = 29.93 : x
  2. Step 2: Convert to fraction form
    106.97/160.45 = 29.93/x
  3. Step 3: Cross multiply
    106.97x = 160.45 × 29.93
  4. Step 4: Simplify right side
    106.97x = 4,802.12
  5. Step 5: Solve for x
    x = 4,802.12/106.97
  6. Step 6: Final answer
    x = 44.89

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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.