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Finding the Fourth Proportional to 53.32, 73.38 and 46.34

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Solution

The fourth proportional to 53.32, 73.38 and 46.34 is: 63.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.32 : 73.38 = 46.34 : x
  2. Step 2: Convert to fraction form
    53.32/73.38 = 46.34/x
  3. Step 3: Cross multiply
    53.32x = 73.38 × 46.34
  4. Step 4: Simplify right side
    53.32x = 3,400.43
  5. Step 5: Solve for x
    x = 3,400.43/53.32
  6. Step 6: Final answer
    x = 63.77

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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.