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Finding the Fourth Proportional to 89.68, 123.64 and 77.53

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Solution

The fourth proportional to 89.68, 123.64 and 77.53 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.68 : 123.64 = 77.53 : x
  2. Step 2: Convert to fraction form
    89.68/123.64 = 77.53/x
  3. Step 3: Cross multiply
    89.68x = 123.64 × 77.53
  4. Step 4: Simplify right side
    89.68x = 9,585.81
  5. Step 5: Solve for x
    x = 9,585.81/89.68
  6. Step 6: Final answer
    x = 106.89

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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.