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Finding the Fourth Proportional to 68.16, 93.72 and 53.58

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Solution

The fourth proportional to 68.16, 93.72 and 53.58 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.16 : 93.72 = 53.58 : x
  2. Step 2: Convert to fraction form
    68.16/93.72 = 53.58/x
  3. Step 3: Cross multiply
    68.16x = 93.72 × 53.58
  4. Step 4: Simplify right side
    68.16x = 5,021.52
  5. Step 5: Solve for x
    x = 5,021.52/68.16
  6. Step 6: Final answer
    x = 73.67

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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.