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Finding the Fourth Proportional to 30.65, 41.76 and 30.42

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Solution

The fourth proportional to 30.65, 41.76 and 30.42 is: 41.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.65 : 41.76 = 30.42 : x
  2. Step 2: Convert to fraction form
    30.65/41.76 = 30.42/x
  3. Step 3: Cross multiply
    30.65x = 41.76 × 30.42
  4. Step 4: Simplify right side
    30.65x = 1,270.34
  5. Step 5: Solve for x
    x = 1,270.34/30.65
  6. Step 6: Final answer
    x = 41.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.