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Finding the Fourth Proportional to 89.83, 123.96 and 53

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Solution

The fourth proportional to 89.83, 123.96 and 53 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.83 : 123.96 = 53 : x
  2. Step 2: Convert to fraction form
    89.83/123.96 = 53/x
  3. Step 3: Cross multiply
    89.83x = 123.96 × 53
  4. Step 4: Simplify right side
    89.83x = 6,569.88
  5. Step 5: Solve for x
    x = 6,569.88/89.83
  6. Step 6: Final answer
    x = 73.14

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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.