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Finding the Fourth Proportional to 152.60, 229 and 71.46

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Solution

The fourth proportional to 152.60, 229 and 71.46 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.60 : 229 = 71.46 : x
  2. Step 2: Convert to fraction form
    152.60/229 = 71.46/x
  3. Step 3: Cross multiply
    152.60x = 229 × 71.46
  4. Step 4: Simplify right side
    152.60x = 16,364.34
  5. Step 5: Solve for x
    x = 16,364.34/152.60
  6. Step 6: Final answer
    x = 107.24

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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.