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Finding the Fourth Proportional to 68.34, 93.75 and 64.20

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Solution

The fourth proportional to 68.34, 93.75 and 64.20 is: 88.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 93.75 = 64.20 : x
  2. Step 2: Convert to fraction form
    68.34/93.75 = 64.20/x
  3. Step 3: Cross multiply
    68.34x = 93.75 × 64.20
  4. Step 4: Simplify right side
    68.34x = 6,018.75
  5. Step 5: Solve for x
    x = 6,018.75/68.34
  6. Step 6: Final answer
    x = 88.07

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