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Finding the Fourth Proportional to 291.09, 436.70 and 85.67

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Solution

The fourth proportional to 291.09, 436.70 and 85.67 is: 128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 436.70 = 85.67 : x
  2. Step 2: Convert to fraction form
    291.09/436.70 = 85.67/x
  3. Step 3: Cross multiply
    291.09x = 436.70 × 85.67
  4. Step 4: Simplify right side
    291.09x = 37,409.48
  5. Step 5: Solve for x
    x = 37,409.48/291.09
  6. Step 6: Final answer
    x = 128.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.