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Finding the Fourth Proportional to 92.93, 128.24 and 51.49

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Solution

The fourth proportional to 92.93, 128.24 and 51.49 is: 71.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.93 : 128.24 = 51.49 : x
  2. Step 2: Convert to fraction form
    92.93/128.24 = 51.49/x
  3. Step 3: Cross multiply
    92.93x = 128.24 × 51.49
  4. Step 4: Simplify right side
    92.93x = 6,603.46
  5. Step 5: Solve for x
    x = 6,603.46/92.93
  6. Step 6: Final answer
    x = 71.06

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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.