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Finding the Fourth Proportional to 55.46, 76.54 and 30.90

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Solution

The fourth proportional to 55.46, 76.54 and 30.90 is: 42.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.46 : 76.54 = 30.90 : x
  2. Step 2: Convert to fraction form
    55.46/76.54 = 30.90/x
  3. Step 3: Cross multiply
    55.46x = 76.54 × 30.90
  4. Step 4: Simplify right side
    55.46x = 2,364.93
  5. Step 5: Solve for x
    x = 2,364.93/55.46
  6. Step 6: Final answer
    x = 42.64

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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.