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Finding the Fourth Proportional to 68.90, 94.91 and 53.33

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Solution

The fourth proportional to 68.90, 94.91 and 53.33 is: 73.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.90 : 94.91 = 53.33 : x
  2. Step 2: Convert to fraction form
    68.90/94.91 = 53.33/x
  3. Step 3: Cross multiply
    68.90x = 94.91 × 53.33
  4. Step 4: Simplify right side
    68.90x = 5,060.81
  5. Step 5: Solve for x
    x = 5,060.81/68.90
  6. Step 6: Final answer
    x = 73.46

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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.