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Finding the Fourth Proportional to 103.51, 155.32 and 42.66

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Solution

The fourth proportional to 103.51, 155.32 and 42.66 is: 64.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.51 : 155.32 = 42.66 : x
  2. Step 2: Convert to fraction form
    103.51/155.32 = 42.66/x
  3. Step 3: Cross multiply
    103.51x = 155.32 × 42.66
  4. Step 4: Simplify right side
    103.51x = 6,625.84
  5. Step 5: Solve for x
    x = 6,625.84/103.51
  6. Step 6: Final answer
    x = 64.01

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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.