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Finding the Fourth Proportional to 105.42, 157.86 and 59.70

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Solution

The fourth proportional to 105.42, 157.86 and 59.70 is: 89.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 157.86 = 59.70 : x
  2. Step 2: Convert to fraction form
    105.42/157.86 = 59.70/x
  3. Step 3: Cross multiply
    105.42x = 157.86 × 59.70
  4. Step 4: Simplify right side
    105.42x = 9,424.24
  5. Step 5: Solve for x
    x = 9,424.24/105.42
  6. Step 6: Final answer
    x = 89.40

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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.