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Finding the Fourth Proportional to 55.08, 75.98 and 42.63

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Solution

The fourth proportional to 55.08, 75.98 and 42.63 is: 58.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 75.98 = 42.63 : x
  2. Step 2: Convert to fraction form
    55.08/75.98 = 42.63/x
  3. Step 3: Cross multiply
    55.08x = 75.98 × 42.63
  4. Step 4: Simplify right side
    55.08x = 3,239.03
  5. Step 5: Solve for x
    x = 3,239.03/55.08
  6. Step 6: Final answer
    x = 58.81

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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.