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Finding the Fourth Proportional to 157.10, 235.67 and 84.01

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Solution

The fourth proportional to 157.10, 235.67 and 84.01 is: 126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.10 : 235.67 = 84.01 : x
  2. Step 2: Convert to fraction form
    157.10/235.67 = 84.01/x
  3. Step 3: Cross multiply
    157.10x = 235.67 × 84.01
  4. Step 4: Simplify right side
    157.10x = 19,798.64
  5. Step 5: Solve for x
    x = 19,798.64/157.10
  6. Step 6: Final answer
    x = 126.03

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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.