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Finding the Fourth Proportional to 30.55, 42.80 and 30.55

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Solution

The fourth proportional to 30.55, 42.80 and 30.55 is: 42.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.55 : 42.80 = 30.55 : x
  2. Step 2: Convert to fraction form
    30.55/42.80 = 30.55/x
  3. Step 3: Cross multiply
    30.55x = 42.80 × 30.55
  4. Step 4: Simplify right side
    30.55x = 1,307.54
  5. Step 5: Solve for x
    x = 1,307.54/30.55
  6. Step 6: Final answer
    x = 42.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.