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Finding the Fourth Proportional to 35.55, 49.07 and 24.64

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Solution

The fourth proportional to 35.55, 49.07 and 24.64 is: 34.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.55 : 49.07 = 24.64 : x
  2. Step 2: Convert to fraction form
    35.55/49.07 = 24.64/x
  3. Step 3: Cross multiply
    35.55x = 49.07 × 24.64
  4. Step 4: Simplify right side
    35.55x = 1,209.02
  5. Step 5: Solve for x
    x = 1,209.02/35.55
  6. Step 6: Final answer
    x = 34.01

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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.