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Finding the Fourth Proportional to 71.52, 98.72 and 53.07

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Solution

The fourth proportional to 71.52, 98.72 and 53.07 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 98.72 = 53.07 : x
  2. Step 2: Convert to fraction form
    71.52/98.72 = 53.07/x
  3. Step 3: Cross multiply
    71.52x = 98.72 × 53.07
  4. Step 4: Simplify right side
    71.52x = 5,238.81
  5. Step 5: Solve for x
    x = 5,238.81/71.52
  6. Step 6: Final answer
    x = 73.25

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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.