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Finding the Fourth Proportional to 52.61, 72.59 and 30.77

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Solution

The fourth proportional to 52.61, 72.59 and 30.77 is: 42.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.61 : 72.59 = 30.77 : x
  2. Step 2: Convert to fraction form
    52.61/72.59 = 30.77/x
  3. Step 3: Cross multiply
    52.61x = 72.59 × 30.77
  4. Step 4: Simplify right side
    52.61x = 2,233.08
  5. Step 5: Solve for x
    x = 2,233.08/52.61
  6. Step 6: Final answer
    x = 42.45

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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.