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Finding the Fourth Proportional to 55.23, 76.23 and 40.70

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Solution

The fourth proportional to 55.23, 76.23 and 40.70 is: 56.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.23 : 76.23 = 40.70 : x
  2. Step 2: Convert to fraction form
    55.23/76.23 = 40.70/x
  3. Step 3: Cross multiply
    55.23x = 76.23 × 40.70
  4. Step 4: Simplify right side
    55.23x = 3,102.18
  5. Step 5: Solve for x
    x = 3,102.18/55.23
  6. Step 6: Final answer
    x = 56.17

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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.