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Finding the Fourth Proportional to 35.94, 53.70 and 34.68

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Solution

The fourth proportional to 35.94, 53.70 and 34.68 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.94 : 53.70 = 34.68 : x
  2. Step 2: Convert to fraction form
    35.94/53.70 = 34.68/x
  3. Step 3: Cross multiply
    35.94x = 53.70 × 34.68
  4. Step 4: Simplify right side
    35.94x = 1,862.32
  5. Step 5: Solve for x
    x = 1,862.32/35.94
  6. Step 6: Final answer
    x = 51.82

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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.