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Finding the Fourth Proportional to 155.54, 233.27 and 59.35

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Solution

The fourth proportional to 155.54, 233.27 and 59.35 is: 89.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.54 : 233.27 = 59.35 : x
  2. Step 2: Convert to fraction form
    155.54/233.27 = 59.35/x
  3. Step 3: Cross multiply
    155.54x = 233.27 × 59.35
  4. Step 4: Simplify right side
    155.54x = 13,843.11
  5. Step 5: Solve for x
    x = 13,843.11/155.54
  6. Step 6: Final answer
    x = 89.00

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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.