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Finding the Fourth Proportional to 35.08, 52.62 and 32.38

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Solution

The fourth proportional to 35.08, 52.62 and 32.38 is: 48.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.08 : 52.62 = 32.38 : x
  2. Step 2: Convert to fraction form
    35.08/52.62 = 32.38/x
  3. Step 3: Cross multiply
    35.08x = 52.62 × 32.38
  4. Step 4: Simplify right side
    35.08x = 1,703.84
  5. Step 5: Solve for x
    x = 1,703.84/35.08
  6. Step 6: Final answer
    x = 48.57

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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.