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Finding the Fourth Proportional to 67.51, 93.16 and 51.11

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Solution

The fourth proportional to 67.51, 93.16 and 51.11 is: 70.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.51 : 93.16 = 51.11 : x
  2. Step 2: Convert to fraction form
    67.51/93.16 = 51.11/x
  3. Step 3: Cross multiply
    67.51x = 93.16 × 51.11
  4. Step 4: Simplify right side
    67.51x = 4,761.16
  5. Step 5: Solve for x
    x = 4,761.16/67.51
  6. Step 6: Final answer
    x = 70.53

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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.