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Finding the Fourth Proportional to 77.70, 117.08 and 70.50

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Solution

The fourth proportional to 77.70, 117.08 and 70.50 is: 106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.70 : 117.08 = 70.50 : x
  2. Step 2: Convert to fraction form
    77.70/117.08 = 70.50/x
  3. Step 3: Cross multiply
    77.70x = 117.08 × 70.50
  4. Step 4: Simplify right side
    77.70x = 8,254.14
  5. Step 5: Solve for x
    x = 8,254.14/77.70
  6. Step 6: Final answer
    x = 106.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.