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Finding the Fourth Proportional to 95.77, 132.00 and 64.67

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Solution

The fourth proportional to 95.77, 132.00 and 64.67 is: 89.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.77 : 132.00 = 64.67 : x
  2. Step 2: Convert to fraction form
    95.77/132.00 = 64.67/x
  3. Step 3: Cross multiply
    95.77x = 132.00 × 64.67
  4. Step 4: Simplify right side
    95.77x = 8,536.93
  5. Step 5: Solve for x
    x = 8,536.93/95.77
  6. Step 6: Final answer
    x = 89.14

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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.