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Finding the Fourth Proportional to 105.60, 157.53 and 93.60

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Solution

The fourth proportional to 105.60, 157.53 and 93.60 is: 139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.60 : 157.53 = 93.60 : x
  2. Step 2: Convert to fraction form
    105.60/157.53 = 93.60/x
  3. Step 3: Cross multiply
    105.60x = 157.53 × 93.60
  4. Step 4: Simplify right side
    105.60x = 14,744.81
  5. Step 5: Solve for x
    x = 14,744.81/105.60
  6. Step 6: Final answer
    x = 139.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.