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Finding the Fourth Proportional to 67.25, 92.64 and 64.01

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Solution

The fourth proportional to 67.25, 92.64 and 64.01 is: 88.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.25 : 92.64 = 64.01 : x
  2. Step 2: Convert to fraction form
    67.25/92.64 = 64.01/x
  3. Step 3: Cross multiply
    67.25x = 92.64 × 64.01
  4. Step 4: Simplify right side
    67.25x = 5,929.89
  5. Step 5: Solve for x
    x = 5,929.89/67.25
  6. Step 6: Final answer
    x = 88.18

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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.