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Finding the Fourth Proportional to 77.34, 106.62 and 65.01

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Solution

The fourth proportional to 77.34, 106.62 and 65.01 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.34 : 106.62 = 65.01 : x
  2. Step 2: Convert to fraction form
    77.34/106.62 = 65.01/x
  3. Step 3: Cross multiply
    77.34x = 106.62 × 65.01
  4. Step 4: Simplify right side
    77.34x = 6,931.37
  5. Step 5: Solve for x
    x = 6,931.37/77.34
  6. Step 6: Final answer
    x = 89.62

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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.