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Finding the Fourth Proportional to 4.20, 5.64 and 4.20

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Solution

The fourth proportional to 4.20, 5.64 and 4.20 is: 5.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.20 : 5.64 = 4.20 : x
  2. Step 2: Convert to fraction form
    4.20/5.64 = 4.20/x
  3. Step 3: Cross multiply
    4.20x = 5.64 × 4.20
  4. Step 4: Simplify right side
    4.20x = 23.69
  5. Step 5: Solve for x
    x = 23.69/4.20
  6. Step 6: Final answer
    x = 5.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.