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Finding the Fourth Proportional to 113.48, 156.69 and 105.24

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Solution

The fourth proportional to 113.48, 156.69 and 105.24 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.48 : 156.69 = 105.24 : x
  2. Step 2: Convert to fraction form
    113.48/156.69 = 105.24/x
  3. Step 3: Cross multiply
    113.48x = 156.69 × 105.24
  4. Step 4: Simplify right side
    113.48x = 16,490.06
  5. Step 5: Solve for x
    x = 16,490.06/113.48
  6. Step 6: Final answer
    x = 145.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.