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Finding the Fourth Proportional to 38.64, 53.28 and 38.40

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Solution

The fourth proportional to 38.64, 53.28 and 38.40 is: 52.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.64 : 53.28 = 38.40 : x
  2. Step 2: Convert to fraction form
    38.64/53.28 = 38.40/x
  3. Step 3: Cross multiply
    38.64x = 53.28 × 38.40
  4. Step 4: Simplify right side
    38.64x = 2,045.95
  5. Step 5: Solve for x
    x = 2,045.95/38.64
  6. Step 6: Final answer
    x = 52.95

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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.