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Finding the Fourth Proportional to 56.52, 78.02 and 38.16

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Solution

The fourth proportional to 56.52, 78.02 and 38.16 is: 52.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.52 : 78.02 = 38.16 : x
  2. Step 2: Convert to fraction form
    56.52/78.02 = 38.16/x
  3. Step 3: Cross multiply
    56.52x = 78.02 × 38.16
  4. Step 4: Simplify right side
    56.52x = 2,977.05
  5. Step 5: Solve for x
    x = 2,977.05/56.52
  6. Step 6: Final answer
    x = 52.67

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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.