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Finding the Fourth Proportional to 51.59, 76.95 and 47.03

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Solution

The fourth proportional to 51.59, 76.95 and 47.03 is: 70.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.59 : 76.95 = 47.03 : x
  2. Step 2: Convert to fraction form
    51.59/76.95 = 47.03/x
  3. Step 3: Cross multiply
    51.59x = 76.95 × 47.03
  4. Step 4: Simplify right side
    51.59x = 3,619.01
  5. Step 5: Solve for x
    x = 3,619.01/51.59
  6. Step 6: Final answer
    x = 70.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.