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Finding the Fourth Proportional to 156.68, 235.05 and 65.33

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Solution

The fourth proportional to 156.68, 235.05 and 65.33 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 235.05 = 65.33 : x
  2. Step 2: Convert to fraction form
    156.68/235.05 = 65.33/x
  3. Step 3: Cross multiply
    156.68x = 235.05 × 65.33
  4. Step 4: Simplify right side
    156.68x = 15,354.64
  5. Step 5: Solve for x
    x = 15,354.64/156.68
  6. Step 6: Final answer
    x = 98.00

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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.