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Finding the Fourth Proportional to 103.62, 155.40 and 42.77

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Solution

The fourth proportional to 103.62, 155.40 and 42.77 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.62 : 155.40 = 42.77 : x
  2. Step 2: Convert to fraction form
    103.62/155.40 = 42.77/x
  3. Step 3: Cross multiply
    103.62x = 155.40 × 42.77
  4. Step 4: Simplify right side
    103.62x = 6,646.46
  5. Step 5: Solve for x
    x = 6,646.46/103.62
  6. Step 6: Final answer
    x = 64.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.