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Finding the Fourth Proportional to 53.31, 73.40 and 47.08

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Solution

The fourth proportional to 53.31, 73.40 and 47.08 is: 64.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.31 : 73.40 = 47.08 : x
  2. Step 2: Convert to fraction form
    53.31/73.40 = 47.08/x
  3. Step 3: Cross multiply
    53.31x = 73.40 × 47.08
  4. Step 4: Simplify right side
    53.31x = 3,455.39
  5. Step 5: Solve for x
    x = 3,455.39/53.31
  6. Step 6: Final answer
    x = 64.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.