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Finding the Fourth Proportional to 38.40, 53.00 and 27.53

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Solution

The fourth proportional to 38.40, 53.00 and 27.53 is: 38.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.40 : 53.00 = 27.53 : x
  2. Step 2: Convert to fraction form
    38.40/53.00 = 27.53/x
  3. Step 3: Cross multiply
    38.40x = 53.00 × 27.53
  4. Step 4: Simplify right side
    38.40x = 1,459.14
  5. Step 5: Solve for x
    x = 1,459.14/38.40
  6. Step 6: Final answer
    x = 38.00

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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.