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Finding the Fourth Proportional to 65.37, 90.33 and 52.59

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Solution

The fourth proportional to 65.37, 90.33 and 52.59 is: 72.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 90.33 = 52.59 : x
  2. Step 2: Convert to fraction form
    65.37/90.33 = 52.59/x
  3. Step 3: Cross multiply
    65.37x = 90.33 × 52.59
  4. Step 4: Simplify right side
    65.37x = 4,750.45
  5. Step 5: Solve for x
    x = 4,750.45/65.37
  6. Step 6: Final answer
    x = 72.67

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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.