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Finding the Fourth Proportional to 91.69, 136.77 and 78.01

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Solution

The fourth proportional to 91.69, 136.77 and 78.01 is: 116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.69 : 136.77 = 78.01 : x
  2. Step 2: Convert to fraction form
    91.69/136.77 = 78.01/x
  3. Step 3: Cross multiply
    91.69x = 136.77 × 78.01
  4. Step 4: Simplify right side
    91.69x = 10,669.38
  5. Step 5: Solve for x
    x = 10,669.38/91.69
  6. Step 6: Final answer
    x = 116.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.