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Finding the Fourth Proportional to 53.36, 73.62 and 34.92

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Solution

The fourth proportional to 53.36, 73.62 and 34.92 is: 48.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.36 : 73.62 = 34.92 : x
  2. Step 2: Convert to fraction form
    53.36/73.62 = 34.92/x
  3. Step 3: Cross multiply
    53.36x = 73.62 × 34.92
  4. Step 4: Simplify right side
    53.36x = 2,570.81
  5. Step 5: Solve for x
    x = 2,570.81/53.36
  6. Step 6: Final answer
    x = 48.18

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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.