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Finding the Fourth Proportional to 106.29, 160.07 and 92.93

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Solution

The fourth proportional to 106.29, 160.07 and 92.93 is: 139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 160.07 = 92.93 : x
  2. Step 2: Convert to fraction form
    106.29/160.07 = 92.93/x
  3. Step 3: Cross multiply
    106.29x = 160.07 × 92.93
  4. Step 4: Simplify right side
    106.29x = 14,875.31
  5. Step 5: Solve for x
    x = 14,875.31/106.29
  6. Step 6: Final answer
    x = 139.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.