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Finding the Fourth Proportional to 160.31, 240.53 and 102.51

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Solution

The fourth proportional to 160.31, 240.53 and 102.51 is: 153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.31 : 240.53 = 102.51 : x
  2. Step 2: Convert to fraction form
    160.31/240.53 = 102.51/x
  3. Step 3: Cross multiply
    160.31x = 240.53 × 102.51
  4. Step 4: Simplify right side
    160.31x = 24,656.22
  5. Step 5: Solve for x
    x = 24,656.22/160.31
  6. Step 6: Final answer
    x = 153.81

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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.