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Finding the Fourth Proportional to 52.79, 79.24 and 30.02

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Solution

The fourth proportional to 52.79, 79.24 and 30.02 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.79 : 79.24 = 30.02 : x
  2. Step 2: Convert to fraction form
    52.79/79.24 = 30.02/x
  3. Step 3: Cross multiply
    52.79x = 79.24 × 30.02
  4. Step 4: Simplify right side
    52.79x = 2,378.31
  5. Step 5: Solve for x
    x = 2,378.31/52.79
  6. Step 6: Final answer
    x = 45.05

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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.