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Finding the Fourth Proportional to 55.24, 75.68 and 53.08

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Solution

The fourth proportional to 55.24, 75.68 and 53.08 is: 72.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.24 : 75.68 = 53.08 : x
  2. Step 2: Convert to fraction form
    55.24/75.68 = 53.08/x
  3. Step 3: Cross multiply
    55.24x = 75.68 × 53.08
  4. Step 4: Simplify right side
    55.24x = 4,017.09
  5. Step 5: Solve for x
    x = 4,017.09/55.24
  6. Step 6: Final answer
    x = 72.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.