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Finding the Fourth Proportional to 68.15, 93.93 and 53.40

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Solution

The fourth proportional to 68.15, 93.93 and 53.40 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.15 : 93.93 = 53.40 : x
  2. Step 2: Convert to fraction form
    68.15/93.93 = 53.40/x
  3. Step 3: Cross multiply
    68.15x = 93.93 × 53.40
  4. Step 4: Simplify right side
    68.15x = 5,015.49
  5. Step 5: Solve for x
    x = 5,015.49/68.15
  6. Step 6: Final answer
    x = 73.59

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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.