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Finding the Fourth Proportional to 106.95, 160.23 and 70.77

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Solution

The fourth proportional to 106.95, 160.23 and 70.77 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 160.23 = 70.77 : x
  2. Step 2: Convert to fraction form
    106.95/160.23 = 70.77/x
  3. Step 3: Cross multiply
    106.95x = 160.23 × 70.77
  4. Step 4: Simplify right side
    106.95x = 11,339.48
  5. Step 5: Solve for x
    x = 11,339.48/106.95
  6. Step 6: Final answer
    x = 106.03

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