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Finding the Fourth Proportional to 65, 89.64 and 52.67

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Solution

The fourth proportional to 65, 89.64 and 52.67 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 89.64 = 52.67 : x
  2. Step 2: Convert to fraction form
    65/89.64 = 52.67/x
  3. Step 3: Cross multiply
    65x = 89.64 × 52.67
  4. Step 4: Simplify right side
    65x = 4,721.34
  5. Step 5: Solve for x
    x = 4,721.34/65
  6. Step 6: Final answer
    x = 72.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.