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Finding the Fourth Proportional to 53.33, 73.59 and 31.50

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Solution

The fourth proportional to 53.33, 73.59 and 31.50 is: 43.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.33 : 73.59 = 31.50 : x
  2. Step 2: Convert to fraction form
    53.33/73.59 = 31.50/x
  3. Step 3: Cross multiply
    53.33x = 73.59 × 31.50
  4. Step 4: Simplify right side
    53.33x = 2,318.09
  5. Step 5: Solve for x
    x = 2,318.09/53.33
  6. Step 6: Final answer
    x = 43.47

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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.