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Finding the Fourth Proportional to 35.99, 53.77 and 34.80

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Solution

The fourth proportional to 35.99, 53.77 and 34.80 is: 51.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.99 : 53.77 = 34.80 : x
  2. Step 2: Convert to fraction form
    35.99/53.77 = 34.80/x
  3. Step 3: Cross multiply
    35.99x = 53.77 × 34.80
  4. Step 4: Simplify right side
    35.99x = 1,871.20
  5. Step 5: Solve for x
    x = 1,871.20/35.99
  6. Step 6: Final answer
    x = 51.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.