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Finding the Fourth Proportional to 55.01, 75.94 and 35.34

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Solution

The fourth proportional to 55.01, 75.94 and 35.34 is: 48.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.01 : 75.94 = 35.34 : x
  2. Step 2: Convert to fraction form
    55.01/75.94 = 35.34/x
  3. Step 3: Cross multiply
    55.01x = 75.94 × 35.34
  4. Step 4: Simplify right side
    55.01x = 2,684.13
  5. Step 5: Solve for x
    x = 2,684.13/55.01
  6. Step 6: Final answer
    x = 48.80

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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.