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Finding the Fourth Proportional to 35.10, 52.58 and 24.40

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Solution

The fourth proportional to 35.10, 52.58 and 24.40 is: 36.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.10 : 52.58 = 24.40 : x
  2. Step 2: Convert to fraction form
    35.10/52.58 = 24.40/x
  3. Step 3: Cross multiply
    35.10x = 52.58 × 24.40
  4. Step 4: Simplify right side
    35.10x = 1,282.95
  5. Step 5: Solve for x
    x = 1,282.95/35.10
  6. Step 6: Final answer
    x = 36.55

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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.