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Finding the Fourth Proportional to 89.50, 123.46 and 56.70

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Solution

The fourth proportional to 89.50, 123.46 and 56.70 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.50 : 123.46 = 56.70 : x
  2. Step 2: Convert to fraction form
    89.50/123.46 = 56.70/x
  3. Step 3: Cross multiply
    89.50x = 123.46 × 56.70
  4. Step 4: Simplify right side
    89.50x = 6,999.28
  5. Step 5: Solve for x
    x = 6,999.28/89.50
  6. Step 6: Final answer
    x = 78.20

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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.