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Finding the Fourth Proportional to 157.20, 235.48 and 100.08

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Solution

The fourth proportional to 157.20, 235.48 and 100.08 is: 149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.20 : 235.48 = 100.08 : x
  2. Step 2: Convert to fraction form
    157.20/235.48 = 100.08/x
  3. Step 3: Cross multiply
    157.20x = 235.48 × 100.08
  4. Step 4: Simplify right side
    157.20x = 23,566.84
  5. Step 5: Solve for x
    x = 23,566.84/157.20
  6. Step 6: Final answer
    x = 149.92

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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.