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Finding the Fourth Proportional to 53.46, 73.76 and 34.07

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Solution

The fourth proportional to 53.46, 73.76 and 34.07 is: 47.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 73.76 = 34.07 : x
  2. Step 2: Convert to fraction form
    53.46/73.76 = 34.07/x
  3. Step 3: Cross multiply
    53.46x = 73.76 × 34.07
  4. Step 4: Simplify right side
    53.46x = 2,512.46
  5. Step 5: Solve for x
    x = 2,512.46/53.46
  6. Step 6: Final answer
    x = 47.00

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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.