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Finding the Fourth Proportional to 107.34, 160.77 and 66.63

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Solution

The fourth proportional to 107.34, 160.77 and 66.63 is: 99.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.34 : 160.77 = 66.63 : x
  2. Step 2: Convert to fraction form
    107.34/160.77 = 66.63/x
  3. Step 3: Cross multiply
    107.34x = 160.77 × 66.63
  4. Step 4: Simplify right side
    107.34x = 10,712.11
  5. Step 5: Solve for x
    x = 10,712.11/107.34
  6. Step 6: Final answer
    x = 99.80

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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.