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Finding the Fourth Proportional to 53.61, 74.00 and 35.22

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Solution

The fourth proportional to 53.61, 74.00 and 35.22 is: 48.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.61 : 74.00 = 35.22 : x
  2. Step 2: Convert to fraction form
    53.61/74.00 = 35.22/x
  3. Step 3: Cross multiply
    53.61x = 74.00 × 35.22
  4. Step 4: Simplify right side
    53.61x = 2,606.10
  5. Step 5: Solve for x
    x = 2,606.10/53.61
  6. Step 6: Final answer
    x = 48.61

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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.