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Finding the Fourth Proportional to 89.48, 123.47 and 52.63

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Solution

The fourth proportional to 89.48, 123.47 and 52.63 is: 72.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.48 : 123.47 = 52.63 : x
  2. Step 2: Convert to fraction form
    89.48/123.47 = 52.63/x
  3. Step 3: Cross multiply
    89.48x = 123.47 × 52.63
  4. Step 4: Simplify right side
    89.48x = 6,498.31
  5. Step 5: Solve for x
    x = 6,498.31/89.48
  6. Step 6: Final answer
    x = 72.63

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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.