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Finding the Fourth Proportional to 106.61, 160.56 and 93.93

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Solution

The fourth proportional to 106.61, 160.56 and 93.93 is: 141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.61 : 160.56 = 93.93 : x
  2. Step 2: Convert to fraction form
    106.61/160.56 = 93.93/x
  3. Step 3: Cross multiply
    106.61x = 160.56 × 93.93
  4. Step 4: Simplify right side
    106.61x = 15,080.93
  5. Step 5: Solve for x
    x = 15,080.93/106.61
  6. Step 6: Final answer
    x = 141.47

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