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Finding the Fourth Proportional to 105.07, 157.53 and 57.01

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Solution

The fourth proportional to 105.07, 157.53 and 57.01 is: 85.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.07 : 157.53 = 57.01 : x
  2. Step 2: Convert to fraction form
    105.07/157.53 = 57.01/x
  3. Step 3: Cross multiply
    105.07x = 157.53 × 57.01
  4. Step 4: Simplify right side
    105.07x = 8,980.79
  5. Step 5: Solve for x
    x = 8,980.79/105.07
  6. Step 6: Final answer
    x = 85.47

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Why These Related Problems?

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