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Finding the Fourth Proportional to 92.87, 128.16 and 54.05

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Solution

The fourth proportional to 92.87, 128.16 and 54.05 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.87 : 128.16 = 54.05 : x
  2. Step 2: Convert to fraction form
    92.87/128.16 = 54.05/x
  3. Step 3: Cross multiply
    92.87x = 128.16 × 54.05
  4. Step 4: Simplify right side
    92.87x = 6,927.37
  5. Step 5: Solve for x
    x = 6,927.37/92.87
  6. Step 6: Final answer
    x = 74.60

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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.