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Finding the Fourth Proportional to 46.51, 69.64 and 32.77

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Solution

The fourth proportional to 46.51, 69.64 and 32.77 is: 49.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.51 : 69.64 = 32.77 : x
  2. Step 2: Convert to fraction form
    46.51/69.64 = 32.77/x
  3. Step 3: Cross multiply
    46.51x = 69.64 × 32.77
  4. Step 4: Simplify right side
    46.51x = 2,282.10
  5. Step 5: Solve for x
    x = 2,282.10/46.51
  6. Step 6: Final answer
    x = 49.07

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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.