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Finding the Fourth Proportional to 153.55, 230.10 and 104.77

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Solution

The fourth proportional to 153.55, 230.10 and 104.77 is: 157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.55 : 230.10 = 104.77 : x
  2. Step 2: Convert to fraction form
    153.55/230.10 = 104.77/x
  3. Step 3: Cross multiply
    153.55x = 230.10 × 104.77
  4. Step 4: Simplify right side
    153.55x = 24,107.58
  5. Step 5: Solve for x
    x = 24,107.58/153.55
  6. Step 6: Final answer
    x = 157.00

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