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Finding the Fourth Proportional to 53.00, 73.15 and 31.19

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Solution

The fourth proportional to 53.00, 73.15 and 31.19 is: 43.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.00 : 73.15 = 31.19 : x
  2. Step 2: Convert to fraction form
    53.00/73.15 = 31.19/x
  3. Step 3: Cross multiply
    53.00x = 73.15 × 31.19
  4. Step 4: Simplify right side
    53.00x = 2,281.28
  5. Step 5: Solve for x
    x = 2,281.28/53.00
  6. Step 6: Final answer
    x = 43.04

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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.