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Finding the Fourth Proportional to 52.64, 79.04 and 51.76

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Solution

The fourth proportional to 52.64, 79.04 and 51.76 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.64 : 79.04 = 51.76 : x
  2. Step 2: Convert to fraction form
    52.64/79.04 = 51.76/x
  3. Step 3: Cross multiply
    52.64x = 79.04 × 51.76
  4. Step 4: Simplify right side
    52.64x = 4,091.11
  5. Step 5: Solve for x
    x = 4,091.11/52.64
  6. Step 6: Final answer
    x = 77.72

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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.