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Finding the Fourth Proportional to 68.06, 93.93 and 65.14

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Solution

The fourth proportional to 68.06, 93.93 and 65.14 is: 89.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 93.93 = 65.14 : x
  2. Step 2: Convert to fraction form
    68.06/93.93 = 65.14/x
  3. Step 3: Cross multiply
    68.06x = 93.93 × 65.14
  4. Step 4: Simplify right side
    68.06x = 6,118.37
  5. Step 5: Solve for x
    x = 6,118.37/68.06
  6. Step 6: Final answer
    x = 89.89

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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.