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Finding the Fourth Proportional to 89.12, 123.04 and 64.64

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Solution

The fourth proportional to 89.12, 123.04 and 64.64 is: 89.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.12 : 123.04 = 64.64 : x
  2. Step 2: Convert to fraction form
    89.12/123.04 = 64.64/x
  3. Step 3: Cross multiply
    89.12x = 123.04 × 64.64
  4. Step 4: Simplify right side
    89.12x = 7,953.31
  5. Step 5: Solve for x
    x = 7,953.31/89.12
  6. Step 6: Final answer
    x = 89.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.