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Finding the Fourth Proportional to 77.06, 106.30 and 56.31

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Solution

The fourth proportional to 77.06, 106.30 and 56.31 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 106.30 = 56.31 : x
  2. Step 2: Convert to fraction form
    77.06/106.30 = 56.31/x
  3. Step 3: Cross multiply
    77.06x = 106.30 × 56.31
  4. Step 4: Simplify right side
    77.06x = 5,985.81
  5. Step 5: Solve for x
    x = 5,985.81/77.06
  6. Step 6: Final answer
    x = 77.68

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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.