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Finding the Fourth Proportional to 92.84, 128.09 and 53.49

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Solution

The fourth proportional to 92.84, 128.09 and 53.49 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.84 : 128.09 = 53.49 : x
  2. Step 2: Convert to fraction form
    92.84/128.09 = 53.49/x
  3. Step 3: Cross multiply
    92.84x = 128.09 × 53.49
  4. Step 4: Simplify right side
    92.84x = 6,851.27
  5. Step 5: Solve for x
    x = 6,851.27/92.84
  6. Step 6: Final answer
    x = 73.80

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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.