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Finding the Fourth Proportional to 77.37, 106.50 and 70.08

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Solution

The fourth proportional to 77.37, 106.50 and 70.08 is: 96.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.37 : 106.50 = 70.08 : x
  2. Step 2: Convert to fraction form
    77.37/106.50 = 70.08/x
  3. Step 3: Cross multiply
    77.37x = 106.50 × 70.08
  4. Step 4: Simplify right side
    77.37x = 7,463.52
  5. Step 5: Solve for x
    x = 7,463.52/77.37
  6. Step 6: Final answer
    x = 96.47

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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.