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Finding the Fourth Proportional to 35.16, 52.38 and 32.46

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Solution

The fourth proportional to 35.16, 52.38 and 32.46 is: 48.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.16 : 52.38 = 32.46 : x
  2. Step 2: Convert to fraction form
    35.16/52.38 = 32.46/x
  3. Step 3: Cross multiply
    35.16x = 52.38 × 32.46
  4. Step 4: Simplify right side
    35.16x = 1,700.25
  5. Step 5: Solve for x
    x = 1,700.25/35.16
  6. Step 6: Final answer
    x = 48.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.