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Finding the Fourth Proportional to 51, 76.56 and 29.64

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Solution

The fourth proportional to 51, 76.56 and 29.64 is: 44.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 76.56 = 29.64 : x
  2. Step 2: Convert to fraction form
    51/76.56 = 29.64/x
  3. Step 3: Cross multiply
    51x = 76.56 × 29.64
  4. Step 4: Simplify right side
    51x = 2,269.24
  5. Step 5: Solve for x
    x = 2,269.24/51
  6. Step 6: Final answer
    x = 44.49

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Why These Related Problems?

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