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Finding the Fourth Proportional to 92.64, 127.84 and 53.80

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Solution

The fourth proportional to 92.64, 127.84 and 53.80 is: 74.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.64 : 127.84 = 53.80 : x
  2. Step 2: Convert to fraction form
    92.64/127.84 = 53.80/x
  3. Step 3: Cross multiply
    92.64x = 127.84 × 53.80
  4. Step 4: Simplify right side
    92.64x = 6,877.79
  5. Step 5: Solve for x
    x = 6,877.79/92.64
  6. Step 6: Final answer
    x = 74.24

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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.