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Finding the Fourth Proportional to 1.13, 1.70 and 1.06

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Solution

The fourth proportional to 1.13, 1.70 and 1.06 is: 1.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.13 : 1.70 = 1.06 : x
  2. Step 2: Convert to fraction form
    1.13/1.70 = 1.06/x
  3. Step 3: Cross multiply
    1.13x = 1.70 × 1.06
  4. Step 4: Simplify right side
    1.13x = 1.79
  5. Step 5: Solve for x
    x = 1.79/1.13
  6. Step 6: Final answer
    x = 1.58

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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.