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Finding the Fourth Proportional to 89.55, 123.60 and 56.83

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Solution

The fourth proportional to 89.55, 123.60 and 56.83 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.55 : 123.60 = 56.83 : x
  2. Step 2: Convert to fraction form
    89.55/123.60 = 56.83/x
  3. Step 3: Cross multiply
    89.55x = 123.60 × 56.83
  4. Step 4: Simplify right side
    89.55x = 7,024.19
  5. Step 5: Solve for x
    x = 7,024.19/89.55
  6. Step 6: Final answer
    x = 78.44

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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.