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Finding the Fourth Proportional to 65.23, 89.55 and 59.76

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Solution

The fourth proportional to 65.23, 89.55 and 59.76 is: 82.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 89.55 = 59.76 : x
  2. Step 2: Convert to fraction form
    65.23/89.55 = 59.76/x
  3. Step 3: Cross multiply
    65.23x = 89.55 × 59.76
  4. Step 4: Simplify right side
    65.23x = 5,351.51
  5. Step 5: Solve for x
    x = 5,351.51/65.23
  6. Step 6: Final answer
    x = 82.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.