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Finding the Fourth Proportional to 74.31, 102.60 and 53.63

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Solution

The fourth proportional to 74.31, 102.60 and 53.63 is: 74.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 102.60 = 53.63 : x
  2. Step 2: Convert to fraction form
    74.31/102.60 = 53.63/x
  3. Step 3: Cross multiply
    74.31x = 102.60 × 53.63
  4. Step 4: Simplify right side
    74.31x = 5,502.37
  5. Step 5: Solve for x
    x = 5,502.37/74.31
  6. Step 6: Final answer
    x = 74.05

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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.