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Finding the Fourth Proportional to 53.07, 73.13 and 47.19

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Solution

The fourth proportional to 53.07, 73.13 and 47.19 is: 65.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 73.13 = 47.19 : x
  2. Step 2: Convert to fraction form
    53.07/73.13 = 47.19/x
  3. Step 3: Cross multiply
    53.07x = 73.13 × 47.19
  4. Step 4: Simplify right side
    53.07x = 3,450.77
  5. Step 5: Solve for x
    x = 3,450.77/53.07
  6. Step 6: Final answer
    x = 65.02

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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.