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Finding the Fourth Proportional to 100.40, 138.54 and 56.14

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Solution

The fourth proportional to 100.40, 138.54 and 56.14 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.40 : 138.54 = 56.14 : x
  2. Step 2: Convert to fraction form
    100.40/138.54 = 56.14/x
  3. Step 3: Cross multiply
    100.40x = 138.54 × 56.14
  4. Step 4: Simplify right side
    100.40x = 7,777.64
  5. Step 5: Solve for x
    x = 7,777.64/100.40
  6. Step 6: Final answer
    x = 77.47

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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.