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Finding the Fourth Proportional to 35.16, 52.67 and 31.07

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Solution

The fourth proportional to 35.16, 52.67 and 31.07 is: 46.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.16 : 52.67 = 31.07 : x
  2. Step 2: Convert to fraction form
    35.16/52.67 = 31.07/x
  3. Step 3: Cross multiply
    35.16x = 52.67 × 31.07
  4. Step 4: Simplify right side
    35.16x = 1,636.04
  5. Step 5: Solve for x
    x = 1,636.04/35.16
  6. Step 6: Final answer
    x = 46.53

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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.