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Finding the Fourth Proportional to 155.71, 233.53 and 78.65

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Solution

The fourth proportional to 155.71, 233.53 and 78.65 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.71 : 233.53 = 78.65 : x
  2. Step 2: Convert to fraction form
    155.71/233.53 = 78.65/x
  3. Step 3: Cross multiply
    155.71x = 233.53 × 78.65
  4. Step 4: Simplify right side
    155.71x = 18,368.40
  5. Step 5: Solve for x
    x = 18,368.40/155.71
  6. Step 6: Final answer
    x = 117.97

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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.