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Finding the Fourth Proportional to 89.60, 123.59 and 56.84

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Solution

The fourth proportional to 89.60, 123.59 and 56.84 is: 78.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.60 : 123.59 = 56.84 : x
  2. Step 2: Convert to fraction form
    89.60/123.59 = 56.84/x
  3. Step 3: Cross multiply
    89.60x = 123.59 × 56.84
  4. Step 4: Simplify right side
    89.60x = 7,024.57
  5. Step 5: Solve for x
    x = 7,024.57/89.60
  6. Step 6: Final answer
    x = 78.40

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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.