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Finding the Fourth Proportional to 46.69, 64.47 and 37.53

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Solution

The fourth proportional to 46.69, 64.47 and 37.53 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 64.47 = 37.53 : x
  2. Step 2: Convert to fraction form
    46.69/64.47 = 37.53/x
  3. Step 3: Cross multiply
    46.69x = 64.47 × 37.53
  4. Step 4: Simplify right side
    46.69x = 2,419.56
  5. Step 5: Solve for x
    x = 2,419.56/46.69
  6. Step 6: Final answer
    x = 51.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.