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Finding the Fourth Proportional to 92.80, 128.05 and 53.99

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Solution

The fourth proportional to 92.80, 128.05 and 53.99 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.80 : 128.05 = 53.99 : x
  2. Step 2: Convert to fraction form
    92.80/128.05 = 53.99/x
  3. Step 3: Cross multiply
    92.80x = 128.05 × 53.99
  4. Step 4: Simplify right side
    92.80x = 6,913.42
  5. Step 5: Solve for x
    x = 6,913.42/92.80
  6. Step 6: Final answer
    x = 74.50

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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.