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Finding the Fourth Proportional to 92.41, 127.58 and 77.02

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Solution

The fourth proportional to 92.41, 127.58 and 77.02 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.41 : 127.58 = 77.02 : x
  2. Step 2: Convert to fraction form
    92.41/127.58 = 77.02/x
  3. Step 3: Cross multiply
    92.41x = 127.58 × 77.02
  4. Step 4: Simplify right side
    92.41x = 9,825.51
  5. Step 5: Solve for x
    x = 9,825.51/92.41
  6. Step 6: Final answer
    x = 106.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.