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Finding the Fourth Proportional to 52.67, 79.02 and 52.35

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Solution

The fourth proportional to 52.67, 79.02 and 52.35 is: 78.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.67 : 79.02 = 52.35 : x
  2. Step 2: Convert to fraction form
    52.67/79.02 = 52.35/x
  3. Step 3: Cross multiply
    52.67x = 79.02 × 52.35
  4. Step 4: Simplify right side
    52.67x = 4,136.70
  5. Step 5: Solve for x
    x = 4,136.70/52.67
  6. Step 6: Final answer
    x = 78.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.