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Finding the Fourth Proportional to 68.14, 93.56 and 64.19

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Solution

The fourth proportional to 68.14, 93.56 and 64.19 is: 88.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.14 : 93.56 = 64.19 : x
  2. Step 2: Convert to fraction form
    68.14/93.56 = 64.19/x
  3. Step 3: Cross multiply
    68.14x = 93.56 × 64.19
  4. Step 4: Simplify right side
    68.14x = 6,005.53
  5. Step 5: Solve for x
    x = 6,005.53/68.14
  6. Step 6: Final answer
    x = 88.13

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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.