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Finding the Fourth Proportional to 46.95, 65.23 and 46.37

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Solution

The fourth proportional to 46.95, 65.23 and 46.37 is: 64.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.95 : 65.23 = 46.37 : x
  2. Step 2: Convert to fraction form
    46.95/65.23 = 46.37/x
  3. Step 3: Cross multiply
    46.95x = 65.23 × 46.37
  4. Step 4: Simplify right side
    46.95x = 3,024.72
  5. Step 5: Solve for x
    x = 3,024.72/46.95
  6. Step 6: Final answer
    x = 64.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.