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Finding the Fourth Proportional to 47.29, 65.07 and 38.51

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Solution

The fourth proportional to 47.29, 65.07 and 38.51 is: 53.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 65.07 = 38.51 : x
  2. Step 2: Convert to fraction form
    47.29/65.07 = 38.51/x
  3. Step 3: Cross multiply
    47.29x = 65.07 × 38.51
  4. Step 4: Simplify right side
    47.29x = 2,506.13
  5. Step 5: Solve for x
    x = 2,506.13/47.29
  6. Step 6: Final answer
    x = 53.00

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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.