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Finding the Fourth Proportional to 7.07, 10.56 and 4.92

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Solution

The fourth proportional to 7.07, 10.56 and 4.92 is: 7.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 10.56 = 4.92 : x
  2. Step 2: Convert to fraction form
    7.07/10.56 = 4.92/x
  3. Step 3: Cross multiply
    7.07x = 10.56 × 4.92
  4. Step 4: Simplify right side
    7.07x = 51.96
  5. Step 5: Solve for x
    x = 51.96/7.07
  6. Step 6: Final answer
    x = 7.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.