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Finding the Fourth Proportional to 53.10, 73.26 and 35.64

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Solution

The fourth proportional to 53.10, 73.26 and 35.64 is: 49.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 73.26 = 35.64 : x
  2. Step 2: Convert to fraction form
    53.10/73.26 = 35.64/x
  3. Step 3: Cross multiply
    53.10x = 73.26 × 35.64
  4. Step 4: Simplify right side
    53.10x = 2,610.99
  5. Step 5: Solve for x
    x = 2,610.99/53.10
  6. Step 6: Final answer
    x = 49.17

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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.