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Finding the Fourth Proportional to 92.50, 127.64 and 53.15

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Solution

The fourth proportional to 92.50, 127.64 and 53.15 is: 73.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 127.64 = 53.15 : x
  2. Step 2: Convert to fraction form
    92.50/127.64 = 53.15/x
  3. Step 3: Cross multiply
    92.50x = 127.64 × 53.15
  4. Step 4: Simplify right side
    92.50x = 6,783.78
  5. Step 5: Solve for x
    x = 6,783.78/92.50
  6. Step 6: Final answer
    x = 73.34

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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.