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Finding the Fourth Proportional to 38.48, 53.04 and 32

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Solution

The fourth proportional to 38.48, 53.04 and 32 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.48 : 53.04 = 32 : x
  2. Step 2: Convert to fraction form
    38.48/53.04 = 32/x
  3. Step 3: Cross multiply
    38.48x = 53.04 × 32
  4. Step 4: Simplify right side
    38.48x = 1,697.28
  5. Step 5: Solve for x
    x = 1,697.28/38.48
  6. Step 6: Final answer
    x = 44.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.