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Finding the Fourth Proportional to 68.51, 94.16 and 65.14

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Solution

The fourth proportional to 68.51, 94.16 and 65.14 is: 89.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.51 : 94.16 = 65.14 : x
  2. Step 2: Convert to fraction form
    68.51/94.16 = 65.14/x
  3. Step 3: Cross multiply
    68.51x = 94.16 × 65.14
  4. Step 4: Simplify right side
    68.51x = 6,133.51
  5. Step 5: Solve for x
    x = 6,133.51/68.51
  6. Step 6: Final answer
    x = 89.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.