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Finding the Fourth Proportional to 35.10, 52.86 and 30.65

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Solution

The fourth proportional to 35.10, 52.86 and 30.65 is: 46.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.10 : 52.86 = 30.65 : x
  2. Step 2: Convert to fraction form
    35.10/52.86 = 30.65/x
  3. Step 3: Cross multiply
    35.10x = 52.86 × 30.65
  4. Step 4: Simplify right side
    35.10x = 1,619.74
  5. Step 5: Solve for x
    x = 1,619.74/35.10
  6. Step 6: Final answer
    x = 46.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.