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Finding the Fourth Proportional to 35.01, 52.41 and 19.77

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Solution

The fourth proportional to 35.01, 52.41 and 19.77 is: 29.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.01 : 52.41 = 19.77 : x
  2. Step 2: Convert to fraction form
    35.01/52.41 = 19.77/x
  3. Step 3: Cross multiply
    35.01x = 52.41 × 19.77
  4. Step 4: Simplify right side
    35.01x = 1,036.15
  5. Step 5: Solve for x
    x = 1,036.15/35.01
  6. Step 6: Final answer
    x = 29.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.