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Finding the Fourth Proportional to 67.50, 92.97 and 64.89

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Solution

The fourth proportional to 67.50, 92.97 and 64.89 is: 89.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 92.97 = 64.89 : x
  2. Step 2: Convert to fraction form
    67.50/92.97 = 64.89/x
  3. Step 3: Cross multiply
    67.50x = 92.97 × 64.89
  4. Step 4: Simplify right side
    67.50x = 6,032.82
  5. Step 5: Solve for x
    x = 6,032.82/67.50
  6. Step 6: Final answer
    x = 89.38

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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.