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Finding the Fourth Proportional to 40.34, 55.70 and 34.86

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Solution

The fourth proportional to 40.34, 55.70 and 34.86 is: 48.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.34 : 55.70 = 34.86 : x
  2. Step 2: Convert to fraction form
    40.34/55.70 = 34.86/x
  3. Step 3: Cross multiply
    40.34x = 55.70 × 34.86
  4. Step 4: Simplify right side
    40.34x = 1,941.70
  5. Step 5: Solve for x
    x = 1,941.70/40.34
  6. Step 6: Final answer
    x = 48.13

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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.