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Finding the Fourth Proportional to 55.10, 76.02 and 40.34

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Solution

The fourth proportional to 55.10, 76.02 and 40.34 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.10 : 76.02 = 40.34 : x
  2. Step 2: Convert to fraction form
    55.10/76.02 = 40.34/x
  3. Step 3: Cross multiply
    55.10x = 76.02 × 40.34
  4. Step 4: Simplify right side
    55.10x = 3,066.65
  5. Step 5: Solve for x
    x = 3,066.65/55.10
  6. Step 6: Final answer
    x = 55.66

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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.