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Finding the Fourth Proportional to 65.00, 89.74 and 52.82

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Solution

The fourth proportional to 65.00, 89.74 and 52.82 is: 72.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.00 : 89.74 = 52.82 : x
  2. Step 2: Convert to fraction form
    65.00/89.74 = 52.82/x
  3. Step 3: Cross multiply
    65.00x = 89.74 × 52.82
  4. Step 4: Simplify right side
    65.00x = 4,740.02
  5. Step 5: Solve for x
    x = 4,740.02/65.00
  6. Step 6: Final answer
    x = 72.92

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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.