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Finding the Fourth Proportional to 68.10, 93.75 and 64.68

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Solution

The fourth proportional to 68.10, 93.75 and 64.68 is: 89.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.10 : 93.75 = 64.68 : x
  2. Step 2: Convert to fraction form
    68.10/93.75 = 64.68/x
  3. Step 3: Cross multiply
    68.10x = 93.75 × 64.68
  4. Step 4: Simplify right side
    68.10x = 6,063.75
  5. Step 5: Solve for x
    x = 6,063.75/68.10
  6. Step 6: Final answer
    x = 89.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.