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Finding the Fourth Proportional to 92.93, 128.17 and 74.50

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Solution

The fourth proportional to 92.93, 128.17 and 74.50 is: 102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.93 : 128.17 = 74.50 : x
  2. Step 2: Convert to fraction form
    92.93/128.17 = 74.50/x
  3. Step 3: Cross multiply
    92.93x = 128.17 × 74.50
  4. Step 4: Simplify right side
    92.93x = 9,548.44
  5. Step 5: Solve for x
    x = 9,548.44/92.93
  6. Step 6: Final answer
    x = 102.75

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Why These Related Problems?

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