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Finding the Third Proportional to 4.16 and 4.53

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Solution

The third proportional to 4.16 and 4.53 is: 4.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 4.53 = 4.53 : x
  2. Step 2: Convert to fraction form
    4.16/4.53 = 4.53/x
  3. Step 3: Cross multiply
    4.16x = 4.53 × 4.53
  4. Step 4: Simplify right side
    4.16x = 20.53
  5. Step 5: Solve for x
    x = 20.53/4.16
  6. Step 6: Final answer
    x = 4.94

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.