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Finding the Fourth Proportional to 5.12, 7.72 and 4.64

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Solution

The fourth proportional to 5.12, 7.72 and 4.64 is: 6.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.12 : 7.72 = 4.64 : x
  2. Step 2: Convert to fraction form
    5.12/7.72 = 4.64/x
  3. Step 3: Cross multiply
    5.12x = 7.72 × 4.64
  4. Step 4: Simplify right side
    5.12x = 35.77
  5. Step 5: Solve for x
    x = 35.77/5.12
  6. Step 6: Final answer
    x = 6.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.