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Finding the Fourth Proportional to 155.69, 233.57 and 59.50

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Solution

The fourth proportional to 155.69, 233.57 and 59.50 is: 89.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.69 : 233.57 = 59.50 : x
  2. Step 2: Convert to fraction form
    155.69/233.57 = 59.50/x
  3. Step 3: Cross multiply
    155.69x = 233.57 × 59.50
  4. Step 4: Simplify right side
    155.69x = 13,897.42
  5. Step 5: Solve for x
    x = 13,897.42/155.69
  6. Step 6: Final answer
    x = 89.26

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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.